Volume of Vortex Moduli Spaces

Details Volume of Vortex Moduli Spaces Volume of Vortex Moduli Spaces

1998-07-02

arxiv.org/abs/hep-th/9807017v1

Commun.Math.Phys. 199 (1999) 591-604

Physics

High Energy Physics

High Energy Physics - Theory

LaTex file, 17 pages. To appear in Comm. Math. Phys

Scientific paper

10.1007/s002200050513

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.

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