Volume of moduli space of vortex equations and localization

DOI10.1143/PTP.126.637zbMATH Open1247.81439arXiv1105.2087OpenAlexW3098524611MaRDI QIDQ2890621

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Publication date: 11 June 2012

Published in: (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/1105.2087

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