HEP Theory Journal Club

2D Conformal Field Theories and Resurgence

Viraj Meruliya

McGill

We consider two-dimensional Conformal Field Theories (CFTs) in the semi-classical limit of large central charge-c. Observables within this regime are amenable to analysis via a 1/c expansion, revealing an asymptotic series that demands the inclusion of non-perturbative effects. Techniques like Borel resummation can be used to systematically study these effects. These ideas will be concretely applied to study 1) Sphere 4-Point Conformal Blocks in Generic CFTs, where we explore how non-perturbative effects manifest as contributions from non-vacuum operators and 2) Structure constants in Liouville theory in which case these effects are understood as complex solutions to Liouville equation.