The Hilbert series of U/SU SQCD and Toeplitz Determinants
High Energy Physics - Theory
2015-03-19 v2 Mathematical Physics
math.MP
Abstract
We present a new technique for computing Hilbert series of N=1 supersymmetric QCD in four dimensions with unitary and special unitary gauge groups. We show that the Hilbert series of this theory can be written in terms of determinants of Toeplitz matrices. Applying related theorems from random matrix theory, we compute a number of exact Hilbert series as well as asymptotic formulae for large numbers of colours and flavours -- many of which have not been derived before.
Keywords
Cite
@article{arxiv.1104.2045,
title = {The Hilbert series of U/SU SQCD and Toeplitz Determinants},
author = {Yang Chen and Noppadol Mekareeya},
journal= {arXiv preprint arXiv:1104.2045},
year = {2015}
}
Comments
49 pages, 6 figures. Version 2: references added