N=2 Super Yang-Mills and the XXZ spin chain
Abstract
We analyse the renormalisation properties of composite operators of scalar fields in the N=2 Super Yang-Mills theory. We compute the matrix of anomalous dimensions in the planar limit at one-loop order in the 't Hooft coupling, and show that it corresponds to the Hamiltonian of an integrable XXZ spin chain with an anisotropy parameter Delta>1. We suggest that this parameter could be related to the presence of non-trivial two-form fluxes in the dual supergravity background. We find that the running of the gauge coupling does not affect the renormalization group equations for these composite operators at one-loop order, and argue that this is a general property of gauge theories which is not related to supersymmetry.
Keywords
Cite
@article{arxiv.hep-th/0405262,
title = {N=2 Super Yang-Mills and the XXZ spin chain},
author = {P. Di Vecchia and A. Tanzini},
journal= {arXiv preprint arXiv:hep-th/0405262},
year = {2015}
}
Comments
16 pages, 2 figures; v2: references added, misprints corrected