Alexei Morozov

Towards unified theory of 2d gravity

We introduce a new 1-matrix model with arbitrary potential and the matrix-valued background field. Its partition function is a

Conformal blocks and generalized Selberg integrals

\tau

GENERALIZED KAZAKOV-MIGDAL-KONTSEVICH MODEL: GROUP THEORY ASPECTS

-function of KP-hierarchy, subjected to a kind of

Chern–Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix

{\cal L}_{-1}

Matrix Models as Integrable Systems

-constraint. Moreover, partition function behaves smoothly in the limit of infinitely large matrices. If the potential is equal to

Algebra of differential operators associated with Young diagrams

X^{K+1}

Towards the Proof of AGT Relations with the Help of the Generalized Jack Polynomials

, this partition function becomes a

WDVV equations from algebra of forms

\tau

Green-Schwarz Action and Loop Calculations for Superstring

-function of

Explicit examples of DIM constraints for network matrix models

K