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Beyond the planar limit in ABJM

de Mello Koch, R, Mohammed, BAE, Murugan, J and Prinsloo, A (2012) Beyond the planar limit in ABJM The Journal of High Energy Physics, 1205, arXiv:.

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Abstract

In this article we consider gauge theories with a U(N)×U(N) gauge group. We provide, for the first time, a complete set of operators built from scalar fields that are in the bi-fundamental of the two groups. Our operators diagonalize the two point function of the free field theory at all orders in 1/N. We then use this basis to investigate non-planar anomalous dimensions in the ABJM theory. We show that the dilatation operator reduces to a set of decoupled harmonic oscillators, signaling integrability in a large N but non-planar limit of the theory.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
de Mello Koch, RUNSPECIFIEDUNSPECIFIED
Mohammed, BAEUNSPECIFIEDUNSPECIFIED
Murugan, JUNSPECIFIEDUNSPECIFIED
Prinsloo, AUNSPECIFIEDUNSPECIFIED
Date : 10 May 2012
Uncontrolled Keywords : Gauge-gravity correspondence, D-branes, AdS-CFT Correspondence, 1/N Expansion
Related URLs :
Additional Information : JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0.
Depositing User : Symplectic Elements
Date Deposited : 12 Nov 2014 17:07
Last Modified : 10 May 2015 01:34
URI: http://epubs.surrey.ac.uk/id/eprint/806526

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