Non-Connected Gauge Groups and the Plethystic Program
High Energy Physics - Theory
2019-04-05 v2
Abstract
We present in the context of supersymmetric gauge theories an extension of the Weyl integration formula, first discovered by Robert Wendt, which applies to a class of non-connected Lie groups. This allows to count in a systematic way gauge-invariant chiral operators for these non-connected gauge groups. Applying this technique to , we obtain, via the ADHM construction, the Hilbert series for certain instanton moduli spaces. We validate our general method and check our results via a Coulomb branch computation, using three-dimensional mirror symmetry.
Keywords
Cite
@article{arxiv.1706.03781,
title = {Non-Connected Gauge Groups and the Plethystic Program},
author = {Antoine Bourget and Alessandro Pini},
journal= {arXiv preprint arXiv:1706.03781},
year = {2019}
}