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- Seong, Rak-Kyeong
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Hilbert series and moduli spaces of k U(N) vortices
- Author(s)
- Hanany, Amihay, Seong, Rak-Kyeong
- Issued Date
- 2015-02
- Citation
- JOURNAL OF HIGH ENERGY PHYSICS, v.2015, no.2
- 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.
- Publisher
- SPRINGER
- ISSN
- 1126-6708
- Keyword (Author)
- Supersymmetric gauge theory, D-branes, Differential and Algebraic Geometry, Superstring Vacua
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