Volume of Vortex Moduli Spaces
High Energy Physics - Theory
2009-10-31 v1 Condensed Matter
Mathematical Physics
Algebraic Geometry
Differential Geometry
math.MP
Abstract
A gas of Bogomol'nyi vortices in the Abelian Higgs model is studied on a compact Riemann surface of genus and area . The volume of the moduli space is computed and found to depend on and , 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
Cite
@article{arxiv.hep-th/9807017,
title = {Volume of Vortex Moduli Spaces},
author = {N. S. Manton and S. M. Nasir},
journal= {arXiv preprint arXiv:hep-th/9807017},
year = {2009}
}
Comments
LaTex file, 17 pages. To appear in Comm. Math. Phys