Supergravity and a Bogomol'nyi Bound in Three Dimensions

Details Supergravity and a Bogomol'nyi Bound in Three Dimensions Supergravity and a Bogomol'nyi Bound in Three Dimensions

1995-06-21

arxiv.org/abs/hep-th/9506147v1

Nucl.Phys. B458 (1996) 165-188

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, latex, no figures

Scientific paper

10.1016/0550-3213(95)00571-4

We discuss the $2+1$ dimensional Abelian Higgs model coupled to $N=2$ supergravity. We construct the supercharge algebra and, from it, we show that the mass of classical static solutions is bounded from below by the topological charge. As it happens in the global case, half of the supersymmetry is broken when the bound is attained and Bogomol'nyi equations, resulting from the unbroken supersymmetry, hold. These equations, which correspond to gravitating vortices, include a first order self-duality equation whose integrability condition reproduces the Einstein equation.

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