Chern-Simons Vortices in Supergravity

Abstract

We study supersymmetric vortex solutions in three-dimensional abelian gauged supergravity. First, we construct the general U(1)-gauged D=3, N=2 supergravity whose scalar sector is an arbitrary Kahler manifold with U(1) isometry. This construction clarifies the connection between local supersymmetry and the specific forms of some scalar potentials previously found in the literature -- in particular, it provides the locally supersymmetric embedding of the abelian Chern-Simons Higgs model. We show that the Killing spinor equations admit rotationally symmetric vortex solutions with asymptotically conical geometry which preserve half of the supersymmetry.

26 pages, LaTeX2e

References in corpus (3)

• Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions
• Vortex Holography
• Gravitating Self-dual Chern-Simons Solitons

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• Supersymmetric Strings and Waves in D=3, N=2 Matter Coupled Gauged Supergravities
• Holographic RG flows and boundary conditions in a 3D gauged supergravity
• New Supersymmetric Solutions in N=2 Matter Coupled AdS_3 Supergravities
• String solutions in Chern-Simons-Higgs model coupled to an axion
• Non-topological soliton in three-dimensional supergravity