SciPost Submission Page
Thermal Conformal Blocks
by Yan Gobeil, Alexander Maloney, Gim Seng Ng, Jie-qiang Wu
|As Contributors:||Yan Gobeil · Gim Seng Ng|
|Submitted by:||Gobeil, Yan|
|Submitted to:||SciPost Physics|
|Subject area:||High-Energy Physics - Theory|
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.