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- Title
Hilbert series and moduli spaces of k U( N ) vortices.
- Authors
Hanany, Amihay; Seong, Rak-Kyeong
- 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 $$ {\mathbb{C}}^{*} $$ 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 $$ {\mathbb{C}}^{*} $$ projection. As a result, we are able to fully classify the moduli spaces up to 3 vortices.
- Publication
Journal of High Energy Physics, 2015, Vol 2015, Issue 2, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP02(2015)012