Quarter BPS classified by Brauer algebra
High Energy Physics - Theory
2015-05-18 v3
Abstract
We analyse the one-loop dilatation operator with the help of the Brauer algebra. We find some BPS operators in N=4 SYM, which are labelled by irreducible representations of the Brauer algebra. Some of them are quarter BPS operators. The result includes full non-planar corrections. Our construction and proof are based on simple algebraic arguments and are carried out for any number of fields.
Cite
@article{arxiv.1002.2424,
title = {Quarter BPS classified by Brauer algebra},
author = {Yusuke Kimura},
journal= {arXiv preprint arXiv:1002.2424},
year = {2015}
}
Comments
16 pages, 2 figures; (v2) some comments added, typos corrected; (v3) some explanations added