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Communications in Mathematical Physics

, Volume 199, Issue 3, pp 591–604 | Cite as

Volume of Vortex Moduli Spaces

  • N. S. Manton
  • S. M. Nasir

Abstract:

A gas of N Bogomol'nyi vortices in the Abelian Higgs model is studied on a compact Riemann surface of genus g and area A. The volume of the moduli space is computed and found to depend on N, g and A, but not on other details of the shape of the surface. The volume is then used to find the thermodynamic partition function and it is shown that the thermodynamical properties of such a gas do not depend on the genus of the Riemann surface.

Keywords

Vortex Partition Function Thermodynamical Property Modulus Space Riemann Surface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • N. S. Manton
    • 1
  • S. M. Nasir
    • 1
  1. 1.Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street,¶Cambridge CB3 9EW, UK. E-mail: N.S.Manton@damtp.cam.ac.ukUK

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