Partial Wave Decomposition in Thermal Conformal Field Theories

par Francesco Russo (University of Pisa & INFN)

mercredi 4 déc. 2024, 10:30 → 11:30 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Abstract:

The conformal block expansion of correlation functions is a fundamental tool in the bootstrap program. Block computation can be related to a specific class of harmonic functions on the conformal group. We generalise this concept to the case of thermal conformal field theories and compute one-point blocks for spinning representations in three dimensions. Specifically, we derive a universal Casimir equation and solve it using recursion relations. Finally, we use the blocks in several examples to explore some features of OPE coefficients.