The decisive factor in solving the above problems will be the crucial use of the mathematical methods of the theory of integrable systems, quantum groups and noncommutative The main goals and tasks of the research within the theme include:ĭevelopment of new mathematical methods for investigation and description of a variety of classical and quantum integrable models and their exact solutions Īnalysis of a wide range of problems in supersymmetric theories including models of superstrings and superbranes, study of non-perturbative regimes in supersymmetricĭevelopment of cosmological models of the early Universe, primordial gravitational waves and black holes. Mathematical physics in recent years has been characterized by increasing interest in identifying and effective use of integrability in various areas, and inĪpplying powerful mathematical methods of quantum groups, supersymmetry and non-commutative geometry to quantum theories of fundamental interactions as well as to classical models. The theory of strings and other extended objects, uncovering of the geometric description of quantum symmetries and their spontaneous breaking in theįramework of search for a unified theory of all fundamental interactions, including quantum gravity. Theoretical physics: clarifying the nature of fundamental interactions and their symmetries, construction and study of effective field models arising in The main purpose of research in modern mathematical physics is the development of mathematical methods for solving the most important problems of modern Issues addressed and main goals of research: Lithuania, Luxembourg, Norway, Poland, Portugal, Republic of Korea, Russia, Spain, Taiwan, Ukraine, United Kingdom, USA. Participating countries and international organizations:Īrmenia, Australia, Brazil, Bulgaria, Canada, CERN,Ĭzech Republic, Estonia, France, Germany, Greece, ICTP, India, Israel, Iran, Ireland, Italy, Japan, Gravity, Supersymmetry and Strings Leaders: A.P.
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