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Thermal Conformal Blocks

by Yan Gobeil, Alexander Maloney, Gim Seng Ng, Jie-qiang Wu

Submission summary

As Contributors: Yan Gobeil · Gim Seng Ng
Arxiv Link: https://arxiv.org/abs/1802.10537v2
Date submitted: 2019-04-18
Submitted by: Gobeil, Yan
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: High-Energy Physics - Theory

Abstract

We study conformal blocks for thermal one-point-functions on the sphere in conformal field theories of general dimension. These thermal conformal blocks satisfy second order Casimir differential equations and have integral representations related to AdS Witten diagrams. We give an analytic formula for the scalar conformal block in terms of generalized hypergeometric functions. As an application, we deduce an asymptotic formula for the three-point coeffcients of primary operators in the limit where two of the operators are heavy.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1802.10537v2 on 18 April 2019

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