Volume of vortex moduli spaces

N. S. Manton; S. M. Nasir

doi:10.1007/s002200050513

Volume of vortex moduli spaces

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

^*Corresponding author for this work

Communication Sciences and Disorders

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47 Scopus citations

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.

Original language	English (US)
Pages (from-to)	591-604
Number of pages	14
Journal	Communications in Mathematical Physics
Volume	199
Issue number	3
DOIs	https://doi.org/10.1007/s002200050513
State	Published - 1999

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s002200050513

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title = "Volume of vortex moduli spaces",

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.",

author = "Manton, {N. S.} and Nasir, {S. M.}",

year = "1999",

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T1 - Volume of vortex moduli spaces

AU - Manton, N. S.

AU - Nasir, S. M.

PY - 1999

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N2 - 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.

AB - 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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U2 - 10.1007/s002200050513

DO - 10.1007/s002200050513

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VL - 199

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

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Volume of vortex moduli spaces

Abstract

ASJC Scopus subject areas

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