Speaker
Alessandro Vichi
(Pisa University)
Description
We study conformal blocks for thermal one-point functions on the sphere in the presence of angular potential in conformal field theories. Much like ordinary four-point conformal blocks, the thermal blocks satisfy Dolan-Osborn-like Casimir differential equations. We will obtain a general solution using recursion relations and weight-shifting operators. As an application, we consider the block decomposition for a few examples. We also discuss an asymptotic formula for the three-point coefficients of primary operators in the limit where two of the operators are heavy.
