Differential equations for classical Virasoro blocks with heavy and light operators

TL;DR

This paper derives differential equations for classical Virasoro blocks involving heavy and light operators, extending previous work on identity blocks to more general four-point blocks.

Contribution

It generalizes the differential equations for 4-point Virasoro blocks from identity to heavy-light operators, broadening the understanding of conformal blocks.

Findings

Derived ODEs for 4-point classical Virasoro blocks with heavy and light operators

Extended the known differential equation for the identity block to more general cases

Provided a mathematical framework for analyzing heavy-light conformal blocks

Abstract

In this note we study differential equations for classical blocks with heavy andlight operators. We present ODEs for the 4-pt blocks, generalizing the ODE for the 4-pt identity block, found by Fitzpatrick, Kaplan, Walters and Wang in [1].