Hilbert Series and Moduli Spaces of k U(N) Vortices
High Energy Physics - Theory
2015-02-04 v1
Abstract
We study the moduli spaces of k U(N) vortices which are realized by the Higgs branch of a U(k) supersymmetric gauge theory. The theory has 4 supercharges and lives on k D1-branes in a N D3- and NS5-brane background. We realize the vortex moduli space as a C* projection of the vortex master space. The Hilbert series is calculated in order to characterize the algebraic structure of the vortex master space and to identify the precise C* projection. As a result, we are able to fully classify the moduli spaces up to 3 vortices.
Cite
@article{arxiv.1403.4950,
title = {Hilbert Series and Moduli Spaces of k U(N) Vortices},
author = {Amihay Hanany and Rak-Kyeong Seong},
journal= {arXiv preprint arXiv:1403.4950},
year = {2015}
}
Comments
102 pages, 8 figures, 5 tables