Analytic results from conformal bootstrap at large spin

by Mr Apratim Kaviraj (Indian Institute of Science, Banglore)

Friday 7 Aug 2015, 11:30 → 12:30 Asia/Kolkata

A304

We use analytic conformal bootstrap methods to determine the anomalous dimension s and OPE coefficients for large spin operators in general conformal field theor ies containing a scalar operator . It is known that such theories will contain a n infinite sequence of large spin operators. By considering the case where such operators are separated by a twist gap from other operators at large spin, we an alytically determine the anomalous dimensions at large spin. To do this we extr act an approximate expression for the conformal blocks in any dimension. We find that the anomalous dimensions are negative if the twists satisfy unitarity bou nd, thus extending the Nachtmann theorem to non-zero n. In the large twist limit we find that the anomalous dimension becomes universal, with our result in perf ect agreement with results from two different holographic calculations.