Volume of vortex moduli spaces

N. S. Manton*, S. M. Nasir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)591-604
Number of pages14
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - 1999

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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