Sl(2,R)-Duality Covariance of Killing Spinors in Axion-Dilaton Black Holes

Details Sl(2,R)-Duality Covariance of Killing Spinors in Axion-Dilaton Black Holes Sl(2,R)-Duality Covariance of Killing Spinors in Axion-Dilaton Black Holes

1994-04-07

arxiv.org/abs/hep-th/9404035v1

Phys.Rev. D51 (1995) 790-794

Physics

High Energy Physics

High Energy Physics - Theory

15 pages-Latex file

Scientific paper

10.1103/PhysRevD.51.790

Under $SL(2,R)$ electric-magnetic duality transformations the Bogomolnyi bound of dilaton-axion black holes is known to be invariant. In this paper we show that this invariance corresponds to the covariance of the $N=4$ supersymmetry transformation rules and their parameters. In particular this implies that Killing spinors transform covariantly into Killing spinors. As an example, we work out completely the case of the largest known family of axion-dilaton black holes which is $SL(2,R)$-invariant, finding the Killing spinors with the announced properties.

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