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01-3-1116-2014/2018
Priority:1
Status: In-progress

Modern Mathematical Physics:
Strings and Gravity, Supersymmetry, Integrability


Leaders:     A.P. Isaev
A.S. Sorin
Deputy:     S.O. Krivonos
Scientific leader:         A.T. Filippov


Participating Countries, Institutes and International organizations:
Australia, Austria, Armenia, Belarus, Belgium, Brazil, Bulgaria, Canada, CERN, Czech Republic, France, Germany, Greece, Hungary, ICTP, India, Italy, Japan, Mexico, Norway, Poland, Romania, Russia, Serbia, Turkey, Ukraine, United Kingdom, USA.
Scientific Programme:
The main purpose of research in modern mathematical physics is the development of mathematical methods for solving the most important problems of modern theoretical physics: clarifying the nature of fundamental interactions and their symmetries, construction and study of effective field models arising in the theory of strings and other extended objects, uncovering the geometric description of quantum symmetries and their spontaneous breaking in the framework of search for a unified theory of all fundamental interactions, including quantum gravity. Mathematical physics in recent years has been characterized by increasing interest in identifying and effective using of integrability in various areas, in applying powerful mathematical methods of quantum groups and of non-commutative geometry to quantum theories of fundamental interactions as well as to classical models.

The main goals and tasks of the research within the theme include: development of new mathematical methods for description of a variety of integrable models and their exact classical and quantum solutions; analysis of a wide range of problems in the theory of superstrings and superbranes, including study of nonperturbative regimes in supersymmetric gauge theories; development of a microscopic description of black holes and constructing cosmological models of the early Universe. The decisive factor to solve the above problems is a crucial use of the mathematical methods of the theory of integrable systems, quantum groups and noncommutative geometry.

Expected main results in 2015:
List of Activities
  Activity or experiment Leaders
 
  Laboratory and
Responsible person
Main researchers for the Laboratory
1. Quantum groups
and integrable systems
A.P. Isaev
  BLTP
 
S.A. BelevS.O. KrivonosN.Yu. Kozyrev R.M. Mir-KasimovS.Z. PakulyakG.S. Pogosyan N.A. Tyurin + 4 students
2. Supersymmetry E.A. Ivanov
  BLTP
 
D. CiriloS.A. FedorukM. PientekS.S. Sidorov Ya.M. ShnirA.O. SutulinB.M. Zupnik + 2 students
3. Quantum gravity,
cosmology and strings
A.T. Filippov
V.V. Nesterenko
A.S. Sorin
  BLTP
 
B.M. BarbashovE.A. DavydovB. Dimitrov D.V. FursaevA.B. PestovI.G. PirozhenkoA.D. Popov E.A. TagirovP.V. Tretyakov + 3 students
  LIT
 
I.L. BogoliubskyA.M. Chervyakov
  VBLHEP
 
E.E. Donets
  UC
 
S.Z. Pakuliak

Collaboration
Country or International
Organization
City Institute or Laboratory
Armenia Yerevan YSU
Austria Vienna TU Vienna
Australia Sydney Univ.
Belarus Minsk IP NASB
Belgium Leuven K.U.Leuven
Brazil Sao Paulo, SP USP
Bulgaria Sofia INRNE BAS
SU
Canada Montreal McGill
UdeM
Edmonton U of A
CERN Geneva CERN
Czech Republic Prague CTU
CU
Rez NPI ASCR
France Annecy-le-Vieux LAPP
LAPTh
Dijon UB
Lyon ENS Lyon
Marseille CPT
Nantes SUBATECH
Paris ENS
LPTHE
Palaiseau Polytech
Valenciennes UVHC
Germany Berlin FU Berlin
HUB
Bielefeld Univ.
Bonn UniBonn
Dortmund TU Dortmund
Hannover LUH
Jena Univ.
Leipzig UoC
Munich MPI-P
Potsdam AEI
Greece Athens UoA
Hungary Budapest Wigner RCP
India Calcutta BNC
ICTP Trieste ICTP
Italy Bari INFN
Frascati INFN LNF
Naples INFN
Padua UniPd
Pavia INFN
Pisa INFN
Salerno UniSa
Trieste SISSA/ISAS
Turin INFN
Japan Fukuoka Kyushu Univ.
Kyoto KSU
RIMS
YITP
Tsukuba KEK
Mexico Leon UG
Norway Trondheim NTNU
Poland Warsaw CAC PAS
UW
Krakow JU
NINP PAS
Lodz UL
Wroclaw UW
Romania Bucharest IFIN-HH
Russia Moscow ITEP
LPI RAS
MSU
MI RAS
NRU HSE
VNIIMS
Moscow, Troitsk INR RAS
Chernogolovka LITP RAS
Petrozavodsk PetrSU
Protvino IHEP
St. Petersburg PDMI RAS
SPbSU
Tomsk TPU
Serbia Belgrade IPB
Univ.
Turkey Istanbul BU
Izmir IYTE
United Kingdom London Imperial College
Cambridge Univ.
Durham Univ.
Liverpool Univ.
Southampton Univ.
York Univ.
Ukraine Kiev BITP NASU
Kharkov KFTI NASU
USA New York, NY CUNY
RU
SUNY
Baltimore, MD JHU
Cincinnati, OH UC
Clemson, SC Clemson
College Park, MD UM
Coral Gables, FL UM
Minneapolis, MN UofM
Norman, OK UO
Philadelphia, PA Penn
Piscataway, NJ Rutgers
Rochester, NY UR

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