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International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics"
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Frobenious manifold structure for Douglas string equation and the correlation numbers for Minimal Liouville gravity A. A. Belavin |
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Аннотация: I am going to present a reviw of some results of the joint works with my colleagues about so-called I will argue that the generating function of the correlators in genus zero in Minimal Liouville gravity (MLG) is nothing but logarithm of the Sato tau-function for dispersionless Gefand–Dikii hierarchy with the special initial condition given by Douglas string equation. The correlators of Minimal Liouville gravity are not equal to the expansion coefficients of log of the tau-function in respect to KdV times as in Matrix models. Instead the correlators of MLG are the expansion coefficients of Log of the tau-function in respect to the new variables connected with KdV variables by a special noliniear “resonance” transformation. These correlators of MLG satisfy to the necessary conformal and fusion rules as it should be Язык доклада: английский |