Resurgence in CFT2 - From degenerate operators to forbidden singularities
Tomas Reis
SISSA
Wed, Nov. 20th 2024, 14:15-16:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
Following the example of previous work by Benjamin et al. and Kaplan et al., we look at resurgence of the large charge expansion of the identity block in CFT2. The motivation is clear in AdS/CFT: to look for black holes in the graviton expansion! We start by exhausting the resurgence analysis of four-point functions with degenerate operators at finite cross-ratio z. We study both all heavy and heavy-light correlators. We see that Stokes phenomena in the asymptotic series in large c are controlled by the cross-ratio z, and that the Stokes jumps reveal the other block in the OPE. These phenomena help complete the story of "forbidden singularities" of Kaplan et al., relate to information loss and suggest future directions for resurgence in CFT2.