Bogomol'nyi Bounds and Killing Spinors in d=3 Supergravity

Details Bogomol'nyi Bounds and Killing Spinors in d=3 Supergravity Bogomol'nyi Bounds and Killing Spinors in d=3 Supergravity

1995-12-15

arxiv.org/abs/hep-th/9512117v1

Phys.Lett. B375 (1996) 163-169

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex, no figures

Scientific paper

10.1016/0370-2693(96)00210-9

We discuss the connection between the construction of Bogomol'nyi bounds and equations in three dimensional gravitational theories and the existence of an underlying $N=2$ local supersymmetric structure. We show that, appart from matter self duality equations, a first order equation for the gravitational field (whose consistency condition gives the Einstein equation) can be written as a consequence of the local supersymmetry. Its solvability makes possible the evasion of the no-go scenario for the construction of Killing spinors in asymptotically conical spacetimes. In particular we show that the existence of non-trivial supercovariantly constant spinors is guaranteed whenever field configurations saturate the topological bound.

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