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

Abstract

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.

15 pages-Latex file

References in corpus (13)

• Noncompact Symmetries in String Theory
• Duality Symmetric Actions
• Supersymmetry as a Cosmic Censor
• Duality Symmetries of 4D Heterotic Strings
• Electric Magnetic Duality in String Theory
• Quantization of Dyon Charge and Electric-Magnetic Duality in String Theory
• Charge Quantization of Axion-Dilaton Black Holes
• Magnetic Monopoles, Bogomol'nyi Bound and SL(2,Z) Invariance in String Theory
• Exact Duality in String Effective Action
• Electric-Magnetic Duality and Supersymmetry in Stringy Black Holes
• Dilaton, moduli and string/five-brane duality as seen from four dimensions
• Killing Spinor Identities
• Supersymmetry, Trace Anomaly and Naked Singularities

Cited by in corpus (21)

• Black Holes and Solitons in String Theory
• Dyonic Membranes
• Supersymmetries and BPS Configurations on Anti-de Sitter Space
• Stationary Axion/Dilaton Solutions and Supersymmetry
• Duality Versus Supersymmetry and Compactification
• The Killing superalgebra of ten-dimensional supergravity backgrounds
• Intersecting brane solutions in string and M-theory
• 3D supergravity from wrapped M5-branes
• All the supersymmetric configurations of N=4,d=4 supergravity
• Supersymmetric Black Holes in $N=8$ Supergravity
• Weaving the Exotic Web
• Massless Black Holes as Black Diholes and Quadruholes
• Duality Symmetric Quantization of Superstring
• SUSY properties of warped AdS${}_3$
• Self-duality of the D1-D5 near-horizon
• FERMION ZERO MODES AND BLACK-HOLE HYPERMULTIPLETS WITH RIGID SUPERSYMMETRY
• Charged Macroscopic type II Strings and their Networks
• 4-string Junction and Its Network
• The supersymmetric black holes of N=8 supergravity
• S-Duality, SL(2,Z) Multiplets and Killing Spinors
• Observations on the Holographic Duals of 4-D Extremal Black Holes