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arXiv · 1202.4925

Beyond the Planar Limit in ABJM

Robert de Mello Koch·Badr Awad Elseid Mohammed·Jeff Murugan·Andrea Prinsloo
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Abstract

In this article we consider gauge theories with a U(N)X 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 nonplanar large N limit.

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Robert de Mello Koch, Badr Awad Elseid Mohammed, Jeff Murugan, Andrea Prinsloo. 2012-04-18. Beyond the Planar Limit in ABJM. https://doi.org/10.1007/jhep05(2012)037

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