Seminars and Colloquia
Physics
Tauberian Theorems and High Energy Asymptotics in CFT
Wed, Jan 15, 2020,
04:00 PM
at Seminar Hall 31, 2nd Floor, Main Building
Dr. Sridip Pal
IAS Princeton
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.
