Alexander Zamolodchikov - Classical conformal blocks and Painleve IV
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2013-11-15

Alexander Zamolodchikov (Rutgers Univ.)
Classical conformal blocks and Painleve IV
In the limit of large central charge and large conformal dimensions Virasoro conformal
blocks exponentiate, leading to classical conformal blocks. The latter are of much interest,
in particular they give solution to the monodromy problem of ordinary linear differential
equations with regular singularities. It will be shown how to relate four-point classical
conformal blocks to classical action evaluated on special solutions of Painleve VI equation.