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Nonperturbative string theory and quantum field theory, two-dimensional
conformal field theories, classical and quantum integrable systems
The main results:
include formulation of path integral representation for string
theories with extended conformal symmetry, integrability of matrix
models of two-dimensional gravity, bosonization of Wess-Zumino-Witten
models and two-dimensional conformal field theories, formulation of
Seiberg-Witten theory in terms of integrable systems.
At present
the main branch of research are: non-pertubative string theory, duality in
string theory and integrable systems, assosiativity equations in non-perturbative
effective quantum theories and quasiclassical integrable hierarchies.
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