Orthogonal Schurs for Classical Gauge Groups
High Energy Physics - Theory
2015-06-17 v1
Abstract
Finite N physics of half-BPS operators for gauge groups SO(N) and Sp(N) has recently been studied[1, 2]. Among other things they showed that, alike U(N), Schur operators (but in the square of their eigenvalues) diagonalize the free field two-point function of half-BPS operators for SO(N) and Sp(N) gauge groups. This result was unexpected since Wick contractions behave differently. In this paper we solve the puzzle by treating all gauge groups in a unified framework and showing how orthogonality of Schur operators emerges naturally from the embedding structure of classical Lie algebras g(N) -> g(M). We go further and we state that orthogonality of Schurs is a gauge group-independent property for classical gauge groups.
Cite
@article{arxiv.1309.1180,
title = {Orthogonal Schurs for Classical Gauge Groups},
author = {Pablo Diaz},
journal= {arXiv preprint arXiv:1309.1180},
year = {2015}
}
Comments
33 pages