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Universal anomalous dimensions at large spin and large twist

Kaviraj, Apratim and Sen, Kallol and Sinha, Aninda (2015) Universal anomalous dimensions at large spin and large twist. In: JOURNAL OF HIGH ENERGY PHYSICS (7).

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Official URL: http://dx.doi.org/10.1007/JHEP07(2015)026

Abstract

In this paper we consider anomalous dimensions of double trace operators at large spin (l) 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 l >> 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 two different calculations in holography and find perfect agreement.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Keywords: Gauge-gravity correspondence; 1/N Expansion
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 19 Nov 2015 04:57
Last Modified: 19 Nov 2015 04:57
URI: http://eprints.iisc.ac.in/id/eprint/52785

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