Nonplanar integrability at two loops
High Energy Physics - Theory
2015-06-05 v2
Abstract
In this article we compute the action of the two loop dilatation operator on restricted Schur polynomials that belong to the su(2) sector, in the displaced corners approximation. In this non-planar large N limit, operators that diagonalize the one loop dilatation operator are not corrected at two loops. The resulting spectrum of anomalous dimensions is related to a set of decoupled harmonic oscillators, indicating integrability in this sector of the theory at two loops. The anomalous dimensions are a non-trivial function of the 't Hooft coupling, with a spectrum that is continuous and starting at zero at large N, but discrete at finite N.
Keywords
Cite
@article{arxiv.1206.0813,
title = {Nonplanar integrability at two loops},
author = {Robert de Mello Koch and Garreth Kemp and Badr Awad Elseid Mohammed and Stephanie Smith},
journal= {arXiv preprint arXiv:1206.0813},
year = {2015}
}
Comments
version to appear in JHEP