Abstract
We consider nonlinear gauged σ-models with Kähler domain and target. For a special choice of potential these models admit Bogomolny (or self-duality) equations — the so-called vortex equations. Here we describe the space of solutions and energy spectrum of the vortex equations when the gauge group is a torus T n, the domain is compact, and the target is We also obtain a large family of solutions when the target is a compact Kähler toric manifold.
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Communicated by M.R. Douglas
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Baptista, J. Vortex Equations in Abelian Gauged σ-Models. Commun. Math. Phys. 261, 161–194 (2006). https://doi.org/10.1007/s00220-005-1444-0
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DOI: https://doi.org/10.1007/s00220-005-1444-0