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Analytic bootstrap at large spin

Kaviraj, Apratim and Sen, Kallol and Sinha, Aninda (2015) Analytic bootstrap at large spin. In: JOURNAL OF HIGH ENERGY PHYSICS (11).

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Official URL: http://dx.doi.org/10.1007/JHEP11(2015)083

Abstract

We use analytic conformal bootstrap methods to determine the anomalous dimensions and OPE coefficients for large spin operators in general conformal field theories in four dimensions containing a scalar operator of conformal dimension Delta(phi). It is known that such theories will contain an in finite sequence of large spin operators with twists approaching 2 Delta(phi) + 2n for each integer n. By considering the case where such operators are separated by a twist gap from other operators at large spin, we analytically determine the n, Delta(phi) dependence of the anomalous dimensions. We find that for all n, the anomalous dimensions are negative for Delta(phi) satisfying the unitarity bound. We further compute the first subleading correction at large spin and show that it becomes universal for large twist. In the limit when n is large, we find exact agreement with the AdS/CFT prediction corresponding to the Eikonal limit of a 2-2 scattering with dominant graviton exchange.

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: 17 Feb 2016 06:06
Last Modified: 17 Feb 2016 06:06
URI: http://eprints.iisc.ac.in/id/eprint/53257

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