Monodromic vs geodesic computation of Virasoro classical conformal blocks

TL;DR

This paper computes 5-point classical conformal blocks with mixed operator weights using monodromy methods and demonstrates their equivalence to bulk geodesic calculations via AdS/CFT correspondence.

Contribution

It introduces a third-order superlight expansion for 5-point blocks and establishes their equivalence to bulk geodesic configurations.

Findings

Successful third-order superlight expansion calculation.

Confirmed equivalence between monodromy and geodesic approaches.

Enhanced understanding of conformal blocks in AdS/CFT context.

Abstract

We compute 5-point classical conformal blocks with two heavy, two light, and one superlight operator using the monodromy approach up to third order in the superlight expansion. By virtue of the AdS/CFT correspondence we show the equivalence of the resulting expressions to those obtained in the bulk computation for the corresponding geodesic configuration.