Browsing by Author "Mohammed, Badr Awad Elseid"

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    Beyond the planar limit in ABJM
    (2012) de Mello Koch, Robert; Mohammed, Badr Awad Elseid; Murugan, Jeff; Prinsloo, Andrea
    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.