Articulo
Bogomol'nyi bounds and Killing spinors in <i>d</i> = 3 supergravity
Registro en:
issn:0370-2693
Autor
Edelstein Glaubach, José Daniel
Núñez, Carlos
Schaposnik, Fidel Arturo
Institución
Resumen
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, apart 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. Facultad de Ciencias Exactas Comisión de Investigaciones Científicas de la provincia de Buenos Aires