Volume of Moduli Space of Vortex Equations and Localization
Starts 6 Sep 2011 17:30
Ends 6 Sep 2011 20:00
Central European Time
Leonardo da Vinci Building Luigi Stasi Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
We evaluate volume of moduli space of BPS vortices on a compact genus h Riemann surface Sigma_h 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. (arXiv:1105.2087[hep-th]).