Abstract
Under SL(2,R) electric-magnetic duality transformations of 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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