Volume of Moduli Space of Vortex Equations and Localization(Particles and Physics)

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概要

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• We evaluate volume of moduli space of BPS vortices on a compact genus h Riemann surface Σ_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 multiflavors. We also compare our results with the volume of the Kahler quotient space inspired by the brane configuration.

• 2011-10-25

著者

• Sakai Norisuke

  Department Of Mathematics Tokyo Woman's Christian University

• Ohta Kazutoshi

  Institute Of Physics Meiji Gakuin University

• Miyake Akiko

  Department Of Breast And Thyroid Surgery Kawasaki Medical School

• Miyake Akiko

  Department Of General Education Kushiro National College Of Technology:institute Of Physics Meiji Ga

• SAKAI Norisuke

  Department of Mathematics, Tokyo Woman's Christian University

• MIYAKE Akiko

  Department of General Education, Kushiro National College of Technology:Institute of Physics, Meiji Gakuin University

• Miyake Akiko

  Department of Applied Chemistry, Faculty of Science and Technology, Keio University

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