Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-01-26
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, LaTeX, Contribution to the proceedings of the conference "Lie theory and its applications in physics", June 2003, Var
Scientific paper
The role of integrable systems in string theory is discussed. We remind old examples of the correspondence between stringy partition functions or effective actions and integrable equations, based on effective application of the matrix model technique. Then we turn to a new example, coming from the Nekrasov deformation of the Seiberg-Witten prepotential. In the last case the deformed theory is described by a different statistical model, which becomes equivalent to a partition function of a topological string. The full partition function of string theory arises therefore always as a certain "quantization" of its quasiclassical geometry.
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