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01-3-1047-2003/2007
Priority:1
Status: Approved for completion
in 2007

Modern Mathematical Physics

Leader:   A.S. Sorin
A.P. Isaev
Scientific leader:    A.T. Filippov

Scientific Programme:
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.

Expected main results in 2007:
List of Activities
  Activity or Experiment Leader
Principal researchers
1. Quantum groups
and integrable systems
A.A. Vladimirov
A.P. Isaev
 
  R.M. Mir-Kasimov
S.Z. Pakulyak
G.S. Pogosyan
P.N. Pyatov
S.V. Shabanov
A.N. Sissakian
N.A. Tyurin
2. Supersymmetry E.A. Ivanov  
  S.A. Fedoruk
S.O. Krivonos
A.V. Shcherbakov
A.O. Sutulin
B.M. Zupnik
3. Quantum gravity,
cosmology and strings
A.T. Filippov
V.V. Nesterenko
A.S. Sorin
 
  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

Collaboration
Country or international
organization
City Institute or Laboratory
Armenia Yerevan YSU
Australia Adelaide Univ.
Belgium Leuven K.U.Leuven
Brazil San Paulo, SP USP
Bulgaria Sofia INRNE BAS
SU
Canada Montreal McGill
UdeM
Edmonton U of A
CERN Geneva
China Hung Hom PolyU
Czech Republic Prague CTU
CU
IP ASCR
Rez NPI ASCR
France Annecy-le-Vieux LAPP
Dijon LPUB
Lyon ENS Lyon
Marseille CPT
Montpellier Univ.
Nantes SUBATECH
Paris LPTHE
ENS
Valenciennes Univ.
Georgia Tbilisi RMI GAS
Germany Berlin FUB
HUB
Aachen RWTH
Bielefeld Univ.
Bonn UniBonn
Dortmund Univ.
Hannover Univ.
Jena FSU
Leipzig Univ.
Munich MPI-P
Potsdam AEI
Greece Athens Univ.
Hungary Budapest KFKI RMKI
India Calcutta BNC
ICTP
Italy Bari INFN
Frascatti INFN LNF
Naples INFN
Padua Univ.
Pavia INFN
Pisa INFN
Salerno Univ.
Trieste SISSA/ISAS
Turin INFN
Japan Kyoto KSU
RIMS
YITP
Tsukuba KEK
JINR Dubna LIT
Mexico Leon UG
Norway Dragvoll Univ.
Poland Warsaw CAC PAS
WU
Cracow IP JU
NINP PAS
Lodz UL
Wroclaw WU
Romania Bucharest IFIN-HH
Russia Moscow MSU
LPI RAS
VNIIMS
SMI RAS
ITEP
Petrozavodsk PetrSU
Protvino IHEP
St. Petersburg PDMI
SPbSU
Tomsk TPU
Troitsk INR RAS
Serbia Belgrade Univ.
Turkey Istanbul BU
Izmir IYTE
United Kingdom London Imperial College
Durham Univ.
Cambridge Univ.
Liverpool Univ.
Southampton Univ.
York Univ.
Ukraine Kiev BITP NASU
Kharkov KFTI NASU
USA New York, NY RU
CUNY
SUNY
Baltimore, MD JHU
Cincinnati, OH UC
Clemson, SC CLEMSON
Coral Gables, FL UM
Minneapolis, MN UofM
Norman, OK UO
Philadelphia, PA Penn
Piscataway, NJ Rutgers
Rochester, NY UR

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