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arXiv · 1403.4950

Hilbert Series and Moduli Spaces of k U(N) Vortices

Amihay Hanany·Rak-Kyeong Seong
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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.

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Amihay Hanany, Rak-Kyeong Seong. 2014-03-19. Hilbert Series and Moduli Spaces of k U(N) Vortices. https://doi.org/10.1007/jhep02(2015)012

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