IISER Pune
INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH (IISER) PUNE
where tomorrow’s science begins today
An Autonomous Institution, Ministry of Human Resource Development, Govt. of India
Links
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.

 

 

homecolloquia_seminars