Vortex equations in abelian gauged sigma-models

Details Vortex equations in abelian gauged sigma-models Vortex equations in abelian gauged sigma-models

2004-11-23

arxiv.org/abs/math/0411517v2

Commun.Math.Phys. 261 (2006) 161-194

Mathematics

Differential Geometry

v2: 60 pages, more details than in CMP version

Scientific paper

10.1007/s00220-005-1444-0

We consider nonlinear gauged sigma-models with Kahler domain and target. For a special choice of potential these models admit Bogomolny (or self-duality) equations -- the so-called vortex equations. We find the moduli space and energy spectrum of the solutions of these equations when the gauge group is a torus T^n, the domain is compact, and the target is C^n or CP^n. We also obtain a large family of solutions when the target is a compact Kahler toric manifold.

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