MS Seminar (Mathematics - String Theory)

Speaker: Kallol Sen (IIS Bangalore)
Title: Analytic Bootstrap: Universality at large spin and large twist
Date: Tue, Apr 21, 2015, 13:15 - 14:45
Place: Seminar Room A
Abstract: We consider anomalous dimensions of double trace operators at large spin (\ell) and large twist (\tau ) in CFTs in arbitrary dimensions (d > 3). Using analytic conformal bootstrap methods, we show that the anomalous dimensions are universal in the limit \ell >> tau >> 1. In the course of the derivation, we extract an approximate closed form expression for the conformal blocks arising in the four point function of identical scalars in any dimension. We compare our results with di rect calculations in holography and fi nd perfect agreement.