Beyond the planar limit in ABJM

Journal Article

2012

Permanent link to this Item
http://hdl.handle.net/11427/34518
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deMelloKochRobert_Beyond_planar_l_2012.pdf (593.88 KB)
Authors
de Mello Koch, Robert
Mohammed, Badr Awad Elseid
Murugan, Jeff
Prinsloo, Andrea
Journal Title

Journal of High Energy Physics

Link to Journal
https://dx.doi.org/10.1007/JHEP05(2012)037
Journal ISSN
Volume Title
Publisher
Publisher
Department
Department of Mathematics and Applied Mathematics
Faculty
Faculty of Science
License
Series
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 nonplanar 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.
Description
Keywords
Gauge-gravity correspondence
D-branes
AdS-CFT Correspondence
1/N Expansion This has no right PDF

Reference:

de Mello Koch, R., Mohammed, B.A.E., Murugan, J. & Prinsloo, A. 2012. Beyond the planar limit in ABJM. Journal of High Energy Physics. 2012(5):174 - 177. http://hdl.handle.net/11427/34518

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