Announcing the summer trimester: Spin systems and phases of matter
Kick-off event at the Institut Henri Poincaré on Wednesday 04/06/2025. Infos and registration: https://indico.math.cnrs.fr/e/sspm
Theoretical Physics
Partial wave decomposition in thermal conformal field theories
byFrancesco Russo
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.