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arXiv · hep-th/9512117

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

José D. Edelstein·Carlos Núñez·Fidel A. Schaposnik
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Abstract

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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José D. Edelstein, Carlos Núñez, Fidel A. Schaposnik. 1995-12-15. Bogomol'nyi Bounds and Killing Spinors in d=3 Supergravity. https://doi.org/10.1016/0370-2693(96)00210-9

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