String Theory Seminars

Tauberian Theorems and High Energy Asymptotics in CFT (Quantum Spacetime Seminar)

by Dr. Sridip Pal (Institute for Advanced Study, Princeton)

Monday, January 20, 2020 from to (Asia/Kolkata)
at A304
Description
We analyze the universal asymptotic behaviour of CFT data using techniques inspired from Tauberian theorems appearing in the context of analyzing divergent series. I will be focussing on 2D CFT where we can also leverage the Modular invariance of the torus partition function. Blending Tauberian techniques and Modular invariance enables us to prove spin sensitive Cardy formula rigorously with an optimal error estimate. We also probe the finer details of asymptotic behaviour of the density of states, OPE coefficient and prove asymptotic bounds on the spectral gap. We comment on how generic and powerful Tauberian theorems can potentially be in analyzing the asymptotic data in any dimensional CFT. 
Material: