Differential equation for four-point correlation function in Liouville field theory and elliptic four-point conformal blocks

V. A. Fateev, A. V. Litvinov, A. Neveu +1

Liouville field theory on a sphere is considered. We explicitly derive a differential equation for four-point correlation functions with one degenerate field $V_{-\frac{mb}{2}}$. W…