Alexander, BelavinFrobenius manifolds, Integrable structures and Minimal string theoryAbstract
This talk is about of the computations of the correlation numbers in
Minimal Liouville gravity .
We use the conjecture that the Douglas equation is applicable to the
Minimal Liouville Gravity
as well as to the Matrix Models of 2d gravity.
We found how to choose the desired solution of the Douglas equation
and
an appropriate form of the resonance transformation from the KdV times
to the Liouville coupling constants to satisfy the needed constraints
of
MLG.
For this aim we use the connection of the String equation with the
corresponding Frobenius manifold structure
and Integrable Kdv structures.
We find the necessary solution of this equation.
The solution of the Douglas equation has a very simple form in the flat
coordinates on the Frobenious manifold .
Using this solution and the suitable choosen resonance transformation
lead to the results
which are consistent with the selection rules of the models of MLG.
