Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-02-22
Physics
High Energy Physics
High Energy Physics - Theory
v2: minor revisisons
Scientific paper
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.
Elseid Mohammed Badr Awad
Mello Koch Robert de
Murugan Jeff
Prinsloo Andrea
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