Chern-Simons Vortices in Supergravity

Details Chern-Simons Vortices in Supergravity Chern-Simons Vortices in Supergravity

2001-12-05

arxiv.org/abs/hep-th/0112035v1

Phys.Rev. D65 (2002) 085016

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX2e

Scientific paper

10.1103/PhysRevD.65.085016

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.

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