\TN{01--3--1070--2009/2013}{1}{\tsprg} {Theory of Elementary Particles} {D.I.~Kazakov \\ O.V.~Teryaev} \TC{Azerbaijan, Armenia, Belarus, Bulgaria, Canada, CERN, Czech Republic, Finland, France, Georgia, Germany, Hungary, ICTP, Italy, Japan, Kazakhstan, Mexico, Mongolia, New Zeland, Norway, Poland, Republic of Korea, Russia, Serbia, Spain, Slovak Republic, Sweden, Switzerland, Ukraine, United Kingdom, USA, Uzbekistan, Vietnam.} \TA Further development of the quantum field theory approach in the framework of the Standard Model of fun\-damen\-tal interactions and its extensions. Lattice simulations for obtaining nonperturbative results in gauge theories. Elaboration of multiloop calculations in QCD, Electroweak theory, and Minimal Supersymmetric Standard Model. Theoretical predictions concerning the experimental observation of supersymmetry, the Higgs boson, investigation of the spin structure of the nucleon, $T$-odd spin effects, jet handedness, heavy flavor physics, vacuum structure in QCD, and hadron properties in dense and hot media. Elaboration of new phenomenological models to describe the hadron dynamics in the framework of general principles of quantum field theory incorporating basic experimental patterns. Theoretical support of current and future experiments at JINR, IHEP, CERN, GSI, DESY, and other physics centers. %\vspace*{4mm} {\bf Expected main results in 2010:} \begin{itemize} %1 \item Calculation of the infrared finite observables in conformal field theories in the leading order of perturbation theory and investigation of the cancellation of the infrared divergencies.

Investigation of characteristics of long-lived charged superpartners of the weak intermediate bosons within the MSSM and prospects of their observation at the LHC collider. %2 \item Analysis of the nucleon spin structure functions accounting for the higher twist contributions within the analytical perturbation theory of QCD.

Investigation of the pion wave function within QCD and check of QCD factorization in connection with the results of BABAR collaboration. Study of the consequences of assumption about plane wave function for angular asymmetry in pion-nucleon Drell-Yan process.

Study of the angular correlations and QCD factorization in production and decay of Higgs bosons, jets, gravitons and black holes at LHC.

Investigation of the electromagnetic and gravitational form factors of nucleons, mesons and nuclei.

Development of a consistent quantum field theoretical description of neutrino oscillations. %3 \item Calculation of the hadronic contribution to the magnetic moment of muon.

Investigation of the spectroscopy of exotic hadrons, the glueballs in particular.

Description of the narrow charmonium-like resonance X(3872) as a tetra-quark.

Investigation of mixing between the light and exotic mesons taking the axial anomaly into account. %4 \item Investigation of the influence of the strong magnetic fields on the spin correlations, fragmentation functions and charge asymmetry of strange hadrons in the process of heavy ion collisions in the context of the NICA project.

Calculation of the QCD evolution and nonperturbative initial conditions for transversal distribution functions.

Further development of the dynamical model for high-energy heavy-ion collisions based on the Navier-Stokes dissipative equations. \end{itemize} \begin{stage-t} % 1 \item \PS{Standard Model\\and its extension}{D.I.~Kazakov\\E.A.~Kuraev}{\null} \PL{BLTP}{}{A.B.~Arbuzov\\S.M.~Bilenky\\A.V.~Gladyshev\\A.V.~Kotikov\\ G.A.~Kozlov\\V.K.~Mitrjushkin\\V.A.~Naumov\\V.N.~Pervushin\\S.I.~Vinitsky\\ M.~Yurchishin \\+ 5 pers.} \PL{LIT}{}{V.P.~Gerdt} \PL{VBLHEP}{}{V.G.~Krivokhizhin} \PL{DLNP}{}{D.Yu.~Bardin\\V.A.~Bednyakov\\L.B.~Kalinovskaya} % 2 \item \PS{QCD parton distributions \\for modern and future colliders}{A.V.~Efremov\\O.V.~Teryaev\\D.V.~Shirkov}{\null} \PL{BLTP}{}{A.P.~Bakulev\\S.V.~Goloskokov\\P.S.~Isaev\\ S.V.~Mikhailov\\A.V.~Nesterenko\\A.V.~Radyushkin\\O.V.~Selyugin\\ A.V.~Sidorov\\+3 pers.} \PL{VBLHEP}{}{Yu.I.~Ivanshin\\I.A.Savin} \PL{DLNP}{}{L.L.~Nemenov\\L.G.~Tkachev\\A.S.~Khrykin} % 3 \item \PS{Physics of heavy and\\exotic hadrons}{A.E.~Dorokhov\\M.A.~Ivanov}{\null} \PL{BLTP}{}{I.V.~Anikin\\I.O.~Cherednikov\\G.~Ganbold\\S.B.~Gerasimov\\G.V.~Efimov\\ S.M.~Eliseev\\N.I.~Kochelev\\V.I.~Korobov\\V.A.~Meshcheryakov\\D.~Minal\\ S.N.~Nedelko\\Yu.S.~Surovtsev\\ + 3 pers.} \PL{VBLHEP}{}{Yu.A. Panebratsev\\ M.V. Tokarev\\ V.A. Nikitin\\ R.Ya. Zulkarneev\\ Yu.I. Ivanshin\\ I.A. Savin\\ M.G. Sapozhnikov} \PL{DLNP}{}{S.G. Kovalenko\\ N.B. Skachkov} % 4 \item \PS{Mixed phase in\\heavy-ion collisions}{A.N.~Sissakian\\A.S.~Sorin\\ D.~Blaschke}{\null} \PL{BLTP}{}{A.S.~Khvorostukhin\\S.V.~Molodtsov\\A.~Parvan\\V.V.~Skokov\\V.D.~Toneev\\ M.K.~Volkov\\ + 3 pers.} \PL{LIT}{}{Yu.L. Kalinovsky\\ Zh.Zh. Musulmanbekov} \PL{VBLHEP}{}{V.D. Kekelidze + 2 pers.} \PL{DLNP}{}{G.I. Lykasov + 2 pers.} \end{stage-t} \begin{intcoop} \mtab{Armenia}{Yerevan}{YerPhI} \mtab{Azerbaijan}{Baku}{BSU} \mtab{}{}{IP ANAS} \mtab{Belarus}{Minsk}{INP BSU} \mtab{}{}{IP NASB} \mtab{}{}{JIPNR-Sosny NASB} \mtab{}{}{NC PHEP BSU} \mtab{}{Gomel}{GSTU} \mtab{Bulgaria}{Sofia}{INRNE BAS} \mtab{}{}{SU} \mtab{Canada}{Montreal}{McGill} \mtab{}{}{UdeM} \mtab{}{Toronto}{U of T} \mtab{CERN}{Geneva}{} \mtab{Czech Republic}{Prague}{CTU} \mtab{}{}{CU} \mtab{}{}{IP ASCR} \mtab{}{Rez}{NPI ASCR} \mtab{Finland}{Helsinki}{UH} \mtab{France}{Lyon}{UCBL} \mtab{}{Metz}{UPV-M} \mtab{}{Montpellier}{UM2} \mtab{}{Saclay}{SPhN CEA DAPNIA} \mtab{}{}{IRFU} \mtab{Georgia}{Tbilisi}{RMI GAS} \mtab{}{}{TSU} \mtab{Germany}{Berlin}{FU Berlin} \mtab{}{}{HUB} \mtab{}{Aachen}{RWTH} \mtab{}{Bielefeld}{Univ.} \mtab{}{Bochum}{RUB} \mtab{}{Bonn}{UniBonn} \mtab{}{Dortmund}{TU Dortmund} \mtab{}{Erlangen}{Univ.} \mtab{}{Hamburg}{DESY} \mtab{}{Heidelberg}{Univ.} \mtab{}{Jena}{Univ.} \mtab{}{Julich}{FZJ} \mtab{}{Kaiserslautern}{TU} \mtab{}{Karlsruhe}{Univ.} \mtab{}{Regensburg}{Univ.} \mtab{}{Rostock}{Univ.} \mtab{}{Mainz}{JGU} \mtab{}{Munich}{LMU} \mtab{}{Tubingen}{Univ.} \mtab{}{Wuppertal}{Univ.} \mtab{}{Zeuthen}{DESY} \mtab{Hungary}{Budapest}{ELTE} \mtab{}{}{KFKI RMKI} \mtab{ICTP}{Trieste}{} \mtab{Italy}{Bari}{INFN} \mtab{}{Naples}{INFN} \mtab{}{Padua}{Univ.} \mtab{}{Pavia}{INFN} \mtab{}{Pisa}{INFN} \mtab{}{Trieste}{SISSA/ISAS} \mtab{}{Turin}{Univ.} \mtab{Japan}{Tokyo}{UT} \mtab{}{Kyoto}{Kyoto Univ.} \mtab{}{Nagoya}{Meiji Univ.} \mtab{}{}{Nagoya Univ.} \mtab{}{Tsukuba}{KEK} \mtab{Kazakhstan}{Almaty}{INP NNC RK} \mtab{Mexico}{Cuernavaca}{UNAM} \mtab{Mongolia}{Ulaanbaatar}{IPT MAS} \mtab{}{}{NUM} \mtab{New Zealand}{Hamilton}{Univ.} \mtab{Norway}{Trondheim}{NTNU} \mtab{Poland}{Warsaw}{SINS} \mtab{}{Cracow}{NINP PAS} \mtab{}{Kielce}{PU} \mtab{}{Lodz}{UL} \mtab{Republic of Korea}{Seoul}{SNU} \mtab{Russia}{Moscow}{IMM RAS} \mtab{}{}{ITEP} \mtab{}{}{LPI RAS} \mtab{}{}{MSU} \mtab{}{}{MI RAS} \mtab{}{}{SCC RAS} \mtab{}{}{SINP MSU} \mtab{}{Belgorod}{BelSU} \mtab{}{Chernogolovka}{LITP RAS} \mtab{}{Gatchina}{PNPI RAS} \mtab{}{Irkutsk}{ISU} \mtab{}{Ivanovo}{ISU} \mtab{}{Kazan}{KSU} \mtab{}{Novosibirsk}{IM SB RAS} \mtab{}{}{BINP SB RAS} \mtab{}{Perm}{PSU} \mtab{}{Protvino}{IHEP} \mtab{}{St. Petersburg}{SPbSU} \mtab{}{}{SPbSPU} \mtab{}{Samara}{SSU} \mtab{}{Saratov}{SSU} \mtab{}{Sarov}{VNIIEF} \mtab{}{Tomsk}{TSU} \mtab{}{}{IHCE SB RAS} \mtab{}{Troitsk}{INR RAS} \mtab{}{Tver}{TvSU} \mtab{}{Yoshkar-Ola}{MSTU} \mtab{Serbia}{Belgrade}{Univ.} \mtab{Slovak Republic}{Bratislava}{CU} \mtab{}{}{IP SAS} \mtab{}{Kosice}{IEP SAS} \mtab{Spain}{Santiago de Compostela}{USC} \mtab{}{Valencia}{UV} \mtab{Switzerland}{Bern}{Uni Bern} \mtab{}{Villigen}{PSI} \mtab{Sweden}{Lund}{LU} \mtab{United Kingdom}{London}{QM} \mtab{}{}{Imperial College} \mtab{}{Canterbury}{Univ.} \mtab{Ukraine}{Kiev}{BITP NASU} \mtab{}{Dnepropetrovsk}{DNU} \mtab{}{Kharkov}{KFTI NASU} \mtab{}{Lutsk}{VNU} \mtab{}{Lvov}{IAPMM NASU} \mtab{}{}{IFNU} \mtab{}{Sumy}{SumSU} \mtab{USA}{New York, NY}{RU} \mtab{}{Argonne, IL}{ANL} \mtab{}{}{CUNY} \mtab{}{Blacksburg, VA}{Virginia Tech.} \mtab{}{College Park, MD}{UM} \mtab{}{Minneapolis, MN}{UofM} \mtab{}{Norman, OK}{UO} \mtab{}{Newport News, VA}{JLab} \mtab{}{Philadelphia, PA}{Penn} \mtab{}{University Park, PA}{Penn State} \mtab{Uzbekistan}{Tashkent}{IAP NUU} \mtab{}{}{NUU} \mtab{}{Samarkand}{SSU} \mtab{Vietnam}{Hanoi}{IP VAST} \end{intcoop} \TN{01--3--1071--2009/2013}{1}{\tsprg} {Nuclear Structure and Dynamics} {V.V.~Voronov\\A.I.~Vdovin} \TC{Belarus, Belgium, Bulgaria, Brazil, Canada, Czech Republic, Egypt, France, Germany, Greece, Hungary, Italy, Japan, Kazakhstan, Moldova, Mongolia, Norway, Poland, Portugal, Republic of Korea, Romania, Russia, South Africa, Spain, Slovak Republic, Sweden, Taiwan, Ukraine, United Kingdom, USA, Uzbekistan.} \TA The main goals are to investigate properties of atomic nuclei at the limits of their stability; to study dynamics of nuclear reactions and mechanisms of production of exotic nuclides; to investigate fundamental properties of exotic few-body nuclear, atomic and molecular systems;to study the behaviour of nuclear matter and its phase transitions at high temperature and density; to evaluate new methods of relativistic nuclear physics and apply them to analyze subnuclear and spin effects in few-nucleon systems. %\vspace*{4mm} {\bf Expected main results in 2010:} \begin{itemize} %1 \item Study of thermal effects on inelastic neutrino-nucleus scattering cross section under stellar media conditions.

Investigation of the anomalous density matrix behaviour in the phase space as well as its radial dependence in heavy nuclei.

Study of low energy excitation modes in odd mass nuclei within extended versions of the Quasiparticle-Phonon nuclear model.

Investigation of nuclear spin-flip excitations in the neutral as well as the charge-exchange channels within different approaches based on the Skyrme-RPA scheme.

Reconsideration of the ordinary muon capture amplitudes in view of the problem with the determination of the weak induced pseudoscalar coupling in the gamma-neutrino correlation experiments. %2 \item Development of the quantum-mechanical non-Markovian treatment of initial stage of nucleus-nucleus collisions.

Calculation of fusion cross-sections of heavy nuclei near the Coulomb barrier energy.

Study of the cluster emission by strongly excited nuclei within dinuclear system model.

Investigation of the position of the neutron and proton drip-lines and properties of neutron- and proton-deficit isotopes of the Fe, Ni and Zn nuclei. %3 \item Calculation of bound states in four-body meson-nucleus systems.

Calculation of double-proton decay of the $^{12}\mathrm{O}$ nucleus.

Theoretical study of $pp$ reactions in colliding proton beams in a crystal.

Quasiclassical description of spontaneous decay of excited states.

Calculation of the resonant molecule formation rate in pair collision of ultracold atoms in optical waveguides. %4 \item Calculation of the cross section and the transverse-longitudinal asymmetry ATL of the three-body-break-up process $^3\rm{He}(e,e'p)pn$ in a non-factorized and parameter-free approach.

Hydrodynamical description of first-order phase transitions with applications to those in nuclear systems.

Investigation of the two-body exchange current contribution to the reaction of the deuteron photodisinteg\-ra\-tion in the framework of the Bethe-Salpeter formalism. \end{itemize} \begin{stage-t} %1 \item \PS{Nuclear Structure\\far from Stability Valley}{V.V.~Voronov \\ A.I.~Vdovin\\ J.~Kvasil}{\null} \PL{BLTP}{}{E.B.~Balbutsev\\V.A.~Kuz'min\\L.A.~Malov\\ V.O.~Nesterenko\\V.Y.~Ponomarev\\V.M.~Shilov\\A.V.~Sushkov} \PL{LIT}{}{N.Yu. Shirikova} \PL{FLNP}{}{A.M. Sukhovoi\\ V.I. Furman} \PL{DLNP}{}{V.B. Brudanin\\ V.G. Kalinnikov} \PL{FLNR}{}{Yu.P. Gangrsky} %2 \item \PS{Nucleus-Nucleus Collisions\\and Nuclear Properties\\at the Low Energies}{R.V.~Jolos\\S.N.~Ershov}{\null} \PL{BLTP}{}{G.G. Adamian\\N.V.~Antonenko\\M.~Cerkaski\\S.I.~Fedotov\\ F.A.~Gareev\\V.G.~Kartavenko\\R.G.~Nazmitdinov\\V.V.~Pashkevich} \PL{FLNR}{}{Yu. E. Penionzhkevich} %3 \item \PS{Exotic Few-Body Systems}{V.B.~Belyaev\\A.K.~Motovilov}{\null} \PL{BLTP}{}{S.S.~Kamalov\\E.V.~Kolganova\\A.V.~Matveenko\\V.S. Melezhik\\ V.V.~Pupyshev\\J.~Revai} \PL{DLNP}{}{O.I. Kartavtsev} %4 \item \PS{Nuclear Structure and Dynamics\\at the Relativistic Energies}{V.V.~Burov\\M.~Gaidarov}{\null} \PL{}{}{S.G.~Bondarenko\\L.P.~Kaptari\\V.K.~Lukyanov\\A.I.~Titov\\ V.D.~Toneev\\B.N.~Zakhariev} \PL{LIT}{}{E.B. Zemlianaya} \PL{VBLHEP}{}{A.I. Malakhov\\N. Piskunov\\Yu.A. Panebratsev\\ L.N. Strunov} \end{stage-t} \begin{intcoop} \mtab{Belarus}{Minsk}{IP NASB} \mtab{Belgium}{Brussels}{VUB} \mtab{}{Ghent}{UGent} \mtab{Brazil}{Florianopolis, SC}{UFSC} \mtab{Bulgaria}{Sofia}{INRNE BAS} \mtab{Canada}{Hamilton}{McMaster} \mtab{}{Saskatoon}{U of S} \mtab{Czech Republic}{Prague}{CU} \mtab{}{Rez}{NPI ASCR} \mtab{Egypt}{Cairo}{AEA} \mtab{France}{Bordeaux}{Univ.} \mtab{}{Caen}{GANIL} \mtab{}{Orsay}{CSNSM} \mtab{}{}{IPN Orsay} \mtab{}{Saclay}{SPhN CEA DAPNIA} \mtab{}{}{IRFU} \mtab{Germany}{Bonn}{UniBonn} \mtab{}{Cologne}{Univ.} \mtab{}{Darmstadt}{GSI} \mtab{}{}{TU Darmstadt} \mtab{}{Dresden}{FZD} \mtab{}{}{MPI-PkS} \mtab{}{Erlangen}{Univ.} \mtab{}{Frankfurt/Main}{Univ.} \mtab{}{Giessen}{JLU} \mtab{}{Julich}{FZJ} \mtab{}{Leipzig}{Univ.} \mtab{}{Mainz}{JGU} \mtab{}{Munich}{TUM} \mtab{}{Regensburg}{Univ.} \mtab{}{Rostock}{Univ.} \mtab{}{Siegen}{Univ.} \mtab{}{Stuttgart}{Univ.} \mtab{Greece}{Thessaloniki}{AUTH} \mtab{}{Athens}{NCSR ``Demokritos''} \mtab{Hungary}{Budapest}{KFKI RMKI} \mtab{Italy}{Catania}{INFN LNS} \mtab{}{Bologna}{Centro, ENEA} \mtab{}{Naples}{INFN} \mtab{}{Messina}{Univ.} \mtab{}{Perugia}{INFN} \mtab{}{Turin}{Univ.} \mtab{Japan}{Tokyo}{UT} \mtab{}{Kobe}{Kobe Univ.} \mtab{}{Morioka}{Iwate Univ.} \mtab{}{Osaka}{RCNP} \mtab{}{Shizuoka}{SU} \mtab{Kazakhstan}{Almaty}{INP NNC RK} \mtab{}{}{KNU} \mtab{Moldova}{Kishinev}{IAP ASM} \mtab{Mongolia}{Ulaanbaatar}{NUM} \mtab{Norway}{Bergen}{UiB} \mtab{}{Oslo}{UiO} \mtab{Poland}{Cracow}{NINP PAS} \mtab{}{Otwock-Swierk}{SINS} \mtab{}{Warsaw}{UW} \mtab{}{}{WUT} \mtab{Portugal}{Lisbon}{UL} \mtab{Republic\\of Korea}{Seoul}{SNU} \mtab{Romania}{Bucharest}{IFIN-HH} \mtab{Russia}{Moscow}{ITEP} \mtab{}{}{MEPhI} \mtab{}{}{MSU} \mtab{}{}{RRC KI} \mtab{}{}{SINP MSU} \mtab{}{Gatchina}{PNPI RAS} \mtab{}{Irkutsk}{ISU} \mtab{}{Obninsk}{IPPE} \mtab{}{Omsk}{OmSU} \mtab{}{Samara}{SSAU} \mtab{}{Saratov}{SSU} \mtab{}{St. Petersburg}{SPbSU} \mtab{}{Troitsk}{INR RAS} \mtab{}{Vladivostok}{FENU} \mtab{Slovak Republic}{Bratislava}{CU} \mtab{}{}{IP SAS} \mtab{South Africa}{Pretoria}{UNISA} \mtab{Spain}{Palma}{UIB} \mtab{Sweden}{Lund}{LU} \mtab{Taiwan}{Taipei}{NTU} \mtab{Ukraine}{Kiev}{INR NASU} \mtab{}{}{BITP NASU} \mtab{}{Kharkov}{KFTI NASU} \mtab{United Kingdom}{Guildford}{Univ.} \mtab{USA}{Ames, IA}{ISU} \mtab{}{Argonne, IL}{ANL} \mtab{}{Columbia, MO}{MU} \mtab{}{Lexington, KY}{UK} \mtab{}{Los Alamos, NM}{LANL} \mtab{}{Notre Dame, IN}{ND} \mtab{}{University Park, PA}{Penn State} \mtab{Uzbekistan}{Tashkent}{IAP NUU} \mtab{}{}{INP UAS} \mtab{}{}{PTI UAS} \end{intcoop} \TN{01--3--1072--2009/2013}{1}{\tsprg} {Theory of Condensed Matter and New Materials} {V.B.~Priezzhev\\V.A.~Osipov} \TLD{N.M.~Plakida} \TC{Armenia, Belarus, Belgium, Bulgaria, Brazil, Canada, Czech Republic, France, Germany, Hungary, India, Ireland, Italy, Moldova, Mongolia, Montenegro, Poland, Romania, Russia, Spain, Slovak Republic, Slovenia, Switzerland, Taiwan, Ukraine, USA, Uzbekistan, Vietnam.} \TA Multiparticle models of solids taking into consideration strong electron correlations, electron-lattice, and spin interactions to describe spectra of quasiparticle excitations, phase transitions and kinetic phenomena in solids. In equilibrium and nonequilibrium media with strong correlations such as liquids and nuclear matter, the processes of multifragmentation, clusterization in phase transitions and the influence of surface effects on properties of clusters. In the theory of superconductivity, nonstandard mechanisms of pairing in metal-oxides, the problem of bipolaron stability in a polaron gas environment, the influence of strong electric fields and temperature gradients on elastic, magnetic, and thermal properties of granular superconductors. For a study of mechanisms of phase transitions caused by charge, orbital, and magnetic ordering in magnetic semiconductors and in metals with a large magnetoresistance, experimental data obtained at the Frank Laboratory of Neutron Physics, JINR, by neutron scattering and the $\mu$SR method will be used.

Nonlinear problems in multiparticle theory will be studied by using modern methods of the renormalization group theory, the inverse scattering problem, fractal geometry, and the conformal field theory. The main subjects of the study are integrable systems, equilibrium systems of the statistical mechanics, and dissipative systems far from the thermodynamic equilibrium. The aim of these investigations is to reveal common properties of the multiparticle systems associated with the ideas of self-similarity and universality.

The microstructure of amorphous state will be studied in the framework of the theoretical model where topological disorder is introduced via arrays of disclination dipoles and loops. The thermal properties of disclinated media are of primary interest. The electronic spectrum of carbon materials, fullerenes and nanotubes, will be examined within the field-theory model adapted to account for nontrivial geometry of these nanostruc\-tures. The model of random Josephson junction arrays will be studied and applied to describe high-temperature granular superconductors.

In the theory of finite quantum systems, local and low-dimensional states of matter obtained in modern experiments will be investigated. In particular, properties of quasiparticles in mesoscopic systems and the Bose-Einstein condensation in atomic traps will be studied. %\vspace*{4mm} {\bf Expected main results in 2010:} \begin{itemize} \item Calculation of low-temperature electronic transport properties of metallic lithium-vanadium spinel.

Elaboration of electron-phonon and spin-fluctuation pairing mechanisms in novel iron-based layered super\-con\-duc\-ting compounds within the strong-coupling theory. \item Energy spectrum calculation for the emitted electrons in the graphene nanosheets with different sheet packages and impurities. \item Derivation of determinantal expressions for the time-like correlation functions of the totally asymmetric exclusion process and investigation of their asymptotics. \item Detailed investigation of new Seiberg dualities in four dimensional N=1 superconformal field theories. Classification of known Seiberg dual theories and description of their effective low-energy interactions. \end{itemize} \begin{stage-t} %1 \item \PS{Physical properties of complex\\materials and nanostructures}{N.M.~Plakida\\V.A.~Osipov\\ G.~Repke}{\null} \PL{BLTP}{}{A.Yu.~Cherny\\A.V.~Chizhov\\W.~Kleinig\\E.A.~Kochetov\\S.E.~Krasavin\\ A.L.~Kuzemsky\\V.A.~Moskalenko\\V.N.~Plechko\\J.~Schmelzer\\V.Yu.~Yushankhai} %2 \item \PS{Mathematical problems\\ of many-particle systems}{V.B.~Priezzhev\\M.A.~Smondyrev\\V.I. Yukalov}{\null} \PL{}{}{L.~Aleksandrov\\E.V.~Bukina\\ V.M.~Dubovik\\V.I.~Inozemtsev\\A.E.~Patrik\\ A.M.~Povolotsky\\V.P.~Spiridonov\\P.E.~Zhidkov} \PL{FLNP}{}{V.L. Aksenov\\A.M. Balagurov} \end{stage-t} \begin{intcoop} \mtab{Armenia}{Yerevan}{YerPhI} \mtab{}{}{YSU} \mtab{Belarus}{Minsk}{BSPU} \mtab{}{}{IP NASB} \mtab{}{}{JIMB NASB} \mtab{Belgium}{Antwerp}{UA} \mtab{Brazil}{Brasilia, DF}{UnB} \mtab{}{San Paulo, SP}{USP} \mtab{Bulgaria}{Sofia}{IMS BAS} \mtab{}{}{IPC BAS} \mtab{}{}{ISSP BAS} \mtab{}{}{SU} \mtab{Canada}{Montreal}{Concordia} \mtab{}{Quebec}{Univ.} \mtab{}{Kingston}{Queen's} \mtab{}{London}{UWO} \mtab{Czech Republic}{Rez}{NPI ASCR} \mtab{France}{Marseille}{Univ.} \mtab{}{Nice}{UN} \mtab{Germany}{Bremen}{Univ.} \mtab{}{Brunswick}{TU} \mtab{}{Dortmund}{TU Dortmund} \mtab{}{Darmstadt}{GSI} \mtab{}{Dresden}{IFW} \mtab{}{}{MPI-PkS} \mtab{}{}{TU Dresden} \mtab{}{Duisburg}{UDE} \mtab{}{Erlangen}{Univ.} \mtab{}{Leipzig}{Univ.} \mtab{}{Magdeburg}{OvGU} \mtab{}{Rostock}{Univ.} \mtab{}{Stuttgart}{MPI-FKF} \mtab{Hungary}{Budapest}{KFKI RMKI} \mtab{India}{Mumbai}{TIFR} \mtab{Ireland}{Dublin}{DIAS} \mtab{Italy}{Catania}{Univ.} \mtab{}{Salerno}{UniSa} \mtab{Poland}{Cracow}{JU} \mtab{}{Warsaw}{IPCh PAS} \mtab{}{}{FP WUT} \mtab{}{Katowice}{US} \mtab{}{Poznan}{IP AMU} \mtab{}{}{IMP PAS} \mtab{Romania}{Bucharest}{IFIN-HH} \mtab{}{Timisoara}{UVT} \mtab{Russia}{Moscow}{MIREA} \mtab{}{}{MEPhI} \mtab{}{}{PFUR} \mtab{}{}{SINP MSU} \mtab{}{}{MI RAS} \mtab{}{}{RRC KI} \mtab{}{Belgorod}{BelSU} \mtab{}{Dubna}{BMIREA} \mtab{}{Gatchina}{PNPI RAS} \mtab{}{Perm}{PSU} \mtab{}{St. Petersburg}{ETU} \mtab{}{}{IPTI RAS} \mtab{}{}{SPbSU} \mtab{}{Troitsk}{HPPI RAS} \mtab{}{Voronezh}{VSU} \mtab{}{Yekaterinburg}{IMP UB RAS} \mtab{Moldova}{Kishinev}{IAP ASM} \mtab{}{}{TUM} \mtab{Mongolia}{Ulaanbaatar}{NUM} \mtab{Montenegro}{Podgorica}{Univ.} \mtab{Slovak Republic}{Bratislava}{IP SAS} \mtab{}{Kosice}{IEP SAS} \mtab{Slovenia}{Ljubljana}{UL} \mtab{Spain}{Madrid}{ICMM} \mtab{Switzerland}{Villigen}{PSI} \mtab{Taiwan}{Taipei}{IP AS} \mtab{Ukraine}{Kharkov}{KFTI NASU} \mtab{}{Kiev}{IMP NASU} \mtab{}{Lvov}{ICMP NASU} \mtab{USA}{Chicago, IL}{Urbana Univ.} \mtab{}{New York, NY}{CUNY} \mtab{}{Rochester, NY}{UR} \mtab{}{Tallahassee, FL}{FSU} \mtab{Uzbekistan}{Tashkent}{Assoc.``P.-S.'' PTI} \mtab{Vietnam}{Hanoi}{IMS VAST} \end{intcoop} \TN{01--3--1073--2009/2013}{1}{\tsprg} {Modern Mathematical Physics: Gravity, Supersymmetry, Integrability} {A.S.~Sorin\\A.P.~Isaev} \TLD{A.T.~Filippov} \TC{Australia, Austria, Armenia, Belarus, Belgium, Bulgaria, Brazil, Canada, CERN, China, Czech Republic, France, Germany, Greece, Hungary, ICTP, India, Italy, Japan, Mexico, Norway, Poland, Romania, Russia, Serbia, Turkey, Ukraine, United Kingdom, USA.} \TA Superstring Theory is the most serious and worldwide pursued candidate for a unified theory of all fundamental interactions including Quantum Gravity and thus it is the principal source of the problems which are the subject of modern mathematical physics. The development of the theory involves the study of its surprisingly wide spectrum of possible regimes, vacua and exact classical and quantum solutions. Furthermore, the theory has applications in many directions including the nonperturbative regime of supersymmetric gauge theories, the mechanics and thermodynamics of black holes and cosmological models of the universe expansion. These are unique laboratories to check general ideas from unified theories. In particular, in order to accommodate and develop the new ideas in these sectors inspired by String Theory, it is crucial to use the powerful mathematical methods provided by the theory of Integrable Systems, Quantum Groups and Non-Commutative Geometry. The goals of the present new theme precisely belong to the bridging between these fields and further development of suitable schemes to be applied in this context. %\vspace*{4mm} {\bf Expected main results in 2010:} \begin{itemize} %1 \item Construction of new superfield extensions of the integrable multiparticle Calogero models with $N \geq 4$ supersymmetry within the approach based on gauging isometries of some free superfield Wess-Zumino models.

Development of a new off-shell N=3, d=3 harmonic superspace description of the combined N=6 Chern-Simons systems related to multiple M2 branes. %2 \item Investigation of new integrable spin chain models invariant under the action of orthogonal and symplectic quantum groups using the representation theory of Birman-Murakami-Wenzl algebras.

Futher development of the technique of generating series for Bethe vectors within the framework of the universal nested Bethe ansatz for quantum integrable models with linear symmetries. Calculation ofexplicit expressions for the norms of Bethe vectors.

Proof of Auroux conjecture related to Homological Mirror Symmetry for Fano varieties. %3 \item Construction and investigation of exact solutions in the dilaton gravity and search for the solution in supergravity corresponding to the integrable cosmological billiard.

Investigation of quantum effects generated by nontrivial geometry and topology of the space-time in the string theory and in the theory of multi-Universe.

Rigorous formulation of the spectral problem in quantum field theory on manifolds with nontrivial internal geometry and nontrivial geometry of boundaries by making use of the scattering formalism. \end{itemize} \begin{stage-t} %1 \item \PS{Quantum groups\\and integrable systems}{A.P.~Isaev}{\null} \PL{BLTP}{}{R.M.~Mir-Kasimov\\S.Z.~Pakulyak\\G.S. Pogosyan\\P.N.~Pyatov\\A.N.~Sissakian\\ N.A.~Tyurin} %2 \item \PS{Supersymmetry}{E.A.~Ivanov}{\null} \PL{BLTP}{}{S.A.~Fedoruk\\S.O.~Krivonos\\A.V.~Shcherbakov\\ A.O.~Sutulin\\B.M.~Zupnik} %3 \item \PS{Quantum gravity,\\cosmology and strings}{A.T.~Filippov\\V.V.~Nesterenko\\A.S.~Sorin}{\null} \PL{BLTP}{}{B.M.~Barbashov\\B.~Dimitrov\\D.V.~Fursaev\\V.V.~Gribanov\\T.A.~Ivanova\\ A.B.~Pestov\\I.G.~Pirozhenko\\A.D.~Popov\\E.A.~Tagirov} \PL{LIT}{}{I.L. Bogoliubsky\\ A.M. Chervyakov\\ E. Donets} \PL{UC}{}{D.V. Fursaev} \end{stage-t} \begin{intcoop} \mtab{Armenia}{Yerevan}{YSU} \mtab{Austria}{Vienna}{TU Vienna} \mtab{Australia}{Adelaide}{Univ.} \mtab{Belarus}{Minsk}{IP NASB} \mtab{Belgium}{Leuven}{K.U.Leuven} \mtab{Brazil}{San Paulo, SP}{USP} \mtab{Bulgaria}{Sofia}{INRNE BAS} \mtab{}{}{SU} \mtab{Canada}{Montreal}{McGill} \mtab{}{}{UdeM} \mtab{}{Edmonton}{U of A} \mtab{CERN}{Geneva}{} \mtab{China}{Hong Kong}{PolyU} \mtab{Czech Republic}{Prague}{CTU} \mtab{}{}{CU} \mtab{}{}{IP ASCR} \mtab{}{Rez}{NPI ASCR} \mtab{France}{Annecy-le-Vieux}{LAPP} \mtab{}{Dijon}{LPUB} \mtab{}{Lyon}{ENS Lyon} \mtab{}{Marseille}{CPT} \mtab{}{Nantes}{SUBATECH} \mtab{}{Paris}{ENS} \mtab{}{}{LPTHE} \mtab{}{Palaiseau}{Polytech} \mtab{}{Valenciennes}{Univ.} \mtab{Germany}{Berlin}{FU Berlin} \mtab{}{}{HUB} \mtab{}{Bielefeld}{Univ.} \mtab{}{Bonn}{UniBonn} \mtab{}{Dortmund}{TU Dortmund} \mtab{}{Hannover}{Univ.} \mtab{}{Jena}{Univ.} \mtab{}{Leipzig}{Univ.} \mtab{}{Munich}{MPI-P} \mtab{}{Potsdam}{AEI} \mtab{Greece}{Athens}{Univ.} \mtab{Hungary}{Budapest}{KFKI RMKI} \mtab{India}{Calcutta}{BNC} \mtab{ICTP}{}{} \mtab{Italy}{Bari}{INFN} \mtab{}{Frascati}{INFN LNF} \mtab{}{Naples}{INFN} \mtab{}{Padua}{Univ.} \mtab{}{Pavia}{INFN} \mtab{}{Pisa}{INFN} \mtab{}{Salerno}{UniSa} \mtab{}{Trieste}{SISSA/ISAS} \mtab{}{Turin}{INFN} \mtab{Japan}{Fukuoka}{Kyushu Univ.} \mtab{}{Kyoto}{KSU} \mtab{}{}{RIMS} \mtab{}{}{YITP} \mtab{}{Tsukuba}{KEK} \mtab{Mexico}{Leon}{UG} \mtab{Norway}{Trondheim}{NTNU} \mtab{Poland}{Warsaw}{CAC PAS} \mtab{}{}{UW} \mtab{}{Cracow}{IP JU} \mtab{}{}{NINP PAS} \mtab{}{Lodz}{UL} \mtab{}{Wroclaw}{UW} \mtab{Romania}{Bucharest}{IFIN-HH} \mtab{Russia}{Moscow}{ITEP} \mtab{}{}{LPI RAS} \mtab{}{}{MSU} \mtab{}{}{MI RAS} \mtab{}{}{VNIIMS} \mtab{}{Chernogolovka}{LITP RAS} \mtab{}{Petrozavodsk}{PetrSU} \mtab{}{Protvino}{IHEP} \mtab{}{St. Petersburg}{PDMI RAS} \mtab{}{}{SPbSU} \mtab{}{Tomsk}{TPU} \mtab{}{Troitsk}{INR RAS} \mtab{Serbia}{Belgrade}{IP} \mtab{}{}{Univ.} \mtab{Turkey}{Istanbul}{BU} \mtab{}{Izmir}{IYTE} \mtab{United Kingdom}{London}{Imperial College} \mtab{}{Cambridge}{Univ.} \mtab{}{Durham}{Univ.} \mtab{}{Liverpool}{Univ.} \mtab{}{Southampton}{Univ.} \mtab{}{York}{Univ.} \mtab{Ukraine}{Kiev}{BITP NASU} \mtab{}{Kharkov}{KFTI NASU} \mtab{USA}{New York, NY}{CUNY} \mtab{}{}{RU} \mtab{}{}{SUNY} \mtab{}{Baltimore, MD}{JHU} \mtab{}{Cincinnati, OH}{UC} \mtab{}{Clemson, SC}{CLEMSON} \mtab{}{College Park, MD}{UM} \mtab{}{Coral Gables, FL}{UM} \mtab{}{Minneapolis, MN}{UofM} \mtab{}{Philadelphia, PA}{Penn} \mtab{}{Piscataway, NJ}{Rutgers} \mtab{}{Rochester, NY}{UR} \end{intcoop} \TN{01--3--1074--2009/2013}{1}{\tsprg} {Research and Education Project\\ "Dubna International Advanced School of Theoretical Physics\\(DIAS-TH)"} {A.S.~Sorin\\V.V.~Voronov} \TC{Austria, Belarus, Brazil, Bulgaria, Canada, CERN, Czech Republic, France, Germany, Greece, Hungary, ICTP, India, Italy, Japan, Mexico, Poland, Romania, Russia, Serbia, Turkey, Ukraine, United Kingdom, USA.} \TA %\vspace*{.5cm} The Bogoliubov Laboratory of Theoretical Physics (BLTP) has a good record of organizing international workshops and schools in Dubna. DIAS-TH organizes and supervises all educational programs for students, postgraduates, and young scientists at BLTP. It should function continuously and the standard short schools (about 3-4 a year) should be organized coherently. Other educational programs in Dubna such as the JINR University Center may also correlate with DIAS-TH (common programs on modern theoretical physics, work\-shops for students and young scientists, etc.).\\
The main goals of DIAS:

  1. Training courses for students, graduates, and young scientists in the JINR Member States and other countries (according to special agreements and grants);

  2. Looking for and supporting gifted young theorists in the JINR Member States; creating databases of students and young researchers; %3

  3. Organization of schools of different levels in Dubna and coordination with similar schools in Russia, Germany, and other European countries; %4

  4. Support of the JINR experimental programs by organizing lecture courses and review lectures on new trends in modern physics; %5

  5. Cooperation with the JINR University Center in training students and postgraduates as well as in orga\-nizing schools for students; %6

  6. Coordination of the research - training programs with workshops and conferences at JINR; %7

  7. Coordination with the schools and workshops supported by the European community, UNESCO and other organizations; %8

  8. Participation in nets of workshops and schools in Europe; %9

  9. Publication of lectures and discussions in different forms, in particular, with the use of modern electronic equipment, etc. %10

  10. Supporting the WEB page of DIAS-TH which should become the organizing center of the programs related to DIAS-TH.
The main topics of the DIAS activity should be centered around the most important directions of research at BLTP: Particles and Fields; Nuclear Theory; Theory of Condensed Matter; Modern Mathematical Physics. %\vspace*{4mm} {\bf Expected main results in 2010:} \begin{itemize} %1 \item Organization of four international schools and a research workshop at BLTP : VIII Winter School on Theoretical Physics; XIV Research Workshop on Nucleation Theory and Applications; International School "Hadron Spectroscopy and Lattice Gauge Theory"; International School "Dense Matter in Heavy-Ion Collisions and Astrphysics"; International Advanced School on Modern Mathematical Physics. %2 \item Organization of regular seminars for students and post-graduates at BLTP. %3 \item Computer processing of video records of lectures, support of digital archive of video records. %4 \item Support of Web-site of DIAS-TH. \end{itemize} \begin{stage-t} %1 \item \PS{}{A.S.~Sorin\\V.V.~Voronov}{\null} \PL{BLTP}{}{A.T.~Filippov\\} \PL{LIT}{}{V.V. Korenkov} \PL{UC}{}{D.V. Fursaev} \PL{FLNP}{}{V.L. Aksenov} \PL{VBLHEP}{}{I.A. Savin\\ Yu.A. Panebratsev} \PL{DLNP}{}{V.A. Bednyakov} \PL{FLNR}{}{Yu. Ts. Oganesyan} \end{stage-t} \begin{intcoop} \mtab{Austria}{Vienna}{Univ.} \mtab{}{}{TU Vienna} \mtab{Belarus}{Minsk}{NC PHEP BSU} \mtab{Brazil}{San Paulo, SP}{USP} \mtab{Bulgaria}{Sofia}{INRNE BAS} \mtab{}{}{SU} \mtab{Canada}{Montreal}{UdeM} \mtab{}{Edmonton}{U of A} \mtab{CERN}{Geneva}{} \mtab{Czech Republic}{Prague}{CTU} \mtab{}{}{IP ASCR} \mtab{}{Rez}{NPI ASCR} \mtab{France}{Annecy-le-Vieux}{LAPP} \mtab{}{Dijon}{LPUB} \mtab{}{Lyon}{ENS Lyon} \mtab{}{Marseille}{CPT} \mtab{}{Nantes}{SUBATECH} \mtab{}{Paris}{ENS} \mtab{}{}{LPTHE} \mtab{}{Valenciennes}{Univ.} \mtab{Germany}{Berlin}{HUB} \mtab{}{Bonn}{UniBonn} \mtab{}{Erlangen}{Univ.} \mtab{}{Frankfurt/Main}{Univ.} \mtab{}{Hamburg}{DESY} \mtab{}{Hannover}{Univ.} \mtab{}{Jena}{Univ.} \mtab{}{Leipzig}{Univ.} \mtab{}{Munich}{MPI-P} \mtab{}{Potsdam}{AEI} \mtab{}{Rostock}{Univ.} \mtab{}{Zeuthen}{DESY} \mtab{Greece}{Athens}{Univ.} \mtab{Hungary}{Budapest}{KFKI RMKI} \mtab{India}{Calcutta}{BNC} \mtab{ICTP}{Trieste}{} \mtab{Italy}{Frascati}{INFN LNF} \mtab{}{Padua}{Univ.} \mtab{}{Pavia}{INFN} \mtab{}{Pisa}{INFN} \mtab{}{Salerno}{UniSa} \mtab{}{Trieste}{SISSA/ISAS} \mtab{}{Turin}{INFN} \mtab{Japan}{Kyoto}{KSU} \mtab{}{}{RIMS} \mtab{}{Tsukuba}{KEK} \mtab{Mexico}{Leon}{UG} \mtab{Poland}{Warsaw}{UW} \mtab{}{Otwock-Swierk}{SINS} \mtab{}{Wroclaw}{UW} \mtab{Romania}{Bucharest}{IFIN-HH} \mtab{Russia}{Moscow}{ITEP} \mtab{}{}{LPI RAS} \mtab{}{}{MSU} \mtab{}{}{SCC RAS} \mtab{}{}{SINP MSU} \mtab{}{}{MI RAS} \mtab{}{}{VNIIMS} \mtab{}{Chernogolovka}{LITP RAS} \mtab{}{Gatchina}{PNPI RAS} \mtab{}{Petrozavodsk}{PetrSU} \mtab{}{Protvino}{IHEP} \mtab{}{St. Petersburg}{PDMI RAS} \mtab{}{Tomsk}{TSU} \mtab{}{Troitsk}{INR RAS} \mtab{Serbia}{Belgrade}{IP} \mtab{}{}{Univ.} \mtab{Turkey}{Istanbul}{BU} \mtab{Ukraine}{Kiev}{BITP NASU} \mtab{}{Kharkov}{KFTI NASU} \mtab{United Kingdom}{London}{Imperial College} \mtab{}{Durham}{Univ.} \mtab{}{Cambridge}{Univ.} \mtab{}{Southampton}{Univ.} \mtab{}{York}{Univ.} \mtab{USA}{New York, NY}{CUNY} \mtab{}{}{SUNY} \mtab{}{Baltimore, MD}{JHU} \mtab{}{College Park, MD}{UM} \mtab{}{Cincinnati, OH}{UC} \mtab{}{Coral Gables, FL}{UM} \mtab{}{Minneapolis, MN}{UofM} \mtab{}{Newport News, VA}{JLab} \mtab{}{Philadelphia, PA}{Penn} \mtab{}{Piscataway, NJ}{Rutgers} \mtab{}{Rochester, NY}{UR} \mtab{}{Salt Lake City, UT}{U of U} \mtab{Vietnam}{Hanoi}{IP VAST} \end{intcoop}