Volume of vortex moduli spaces

DOI10.1007/S002200050513zbMATH Open0920.58069arXivhep-th/9807017OpenAlexW3102379406MaRDI QIDQ1284179

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Publication date: 19 September 1999

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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.

Full work available at URL: https://arxiv.org/abs/hep-th/9807017

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