1202.4925 (Robert de Mello Koch et al.)

Beyond the Planar Limit in ABJM    [PDF]

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

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 fundamental and 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 this limit
of the theory.

View original: http://arxiv.org/abs/1202.4925