Volume of Moduli Space of Vortex Equations and Localization

Details Volume of Moduli Space of Vortex Equations and Localization Volume of Moduli Space of Vortex Equations and Localization

2011-05-11

arxiv.org/abs/1105.2087v3

Prog. Theor. Phys. 126 (2011), 637-680

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, 1 figure, note and references added

Scientific paper

10.1143/PTP.126.637

We evaluate volume of moduli space of BPS vortices on a compact Riemann surface by using topological field theory and localization technique developed by Moore, Nekrasov and Shatashvili. We apply this technique to Abelian (ANO) vortex and show that the volume of moduli space agrees with the previous results obtained by integrating over the moduli space metric. We extend the evaluation to non-Abelian gauge groups and multi-flavors. We also compare our results with the volume of the Kahler quotient space inspired by the brane configuration.

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