Non-holomorphic multi-matrix gauge invariant operators based on Brauer algebra
High Energy Physics - Theory
2015-05-14 v2
Abstract
We present an orthogonal basis of gauge invariant operators constructed from some complex matrices for the free matrix field, where operators are expressed with the help of Brauer algebra. This is a generalisation of our previous work for a signle complex matrix. We also discuss the matrix quantum mechanics relevant to N=4 SYM on S^{3} times R. A commuting set of conserved operators whose eigenstates are given by the orthogonal basis is shown by using enhanced symmetries at zero coupling.
Cite
@article{arxiv.0910.2170,
title = {Non-holomorphic multi-matrix gauge invariant operators based on Brauer algebra},
author = {Yusuke Kimura},
journal= {arXiv preprint arXiv:0910.2170},
year = {2015}
}
Comments
29 pages, typos corrected, references added