We propose a geometric method to study the residual symmetries in N = 2, d = 4 U(1) Fayet-Iliopoulos (FI) gauged supergravity. It essentially involves the stabilization of the symplectic vector of gauge couplings (FI parameters) under the action of the U-duality symmetry of the ungauged theory. In particular we are interested in those transformations that act non-trivially on the solutions and produce scalar hair and dyonic black holes from a given seed. We illustrate the procedure for finding this group in general and then show how it works in some specific models. For the prepotential F = −iX0X1, we use our method to add one more parameter to the rotating Chow-Compère solution, representing scalar hair.

Duality invariance in Fayet-Iliopoulos gauged supergravity

CACCIATORI, SERGIO LUIGI;
2016

Abstract

We propose a geometric method to study the residual symmetries in N = 2, d = 4 U(1) Fayet-Iliopoulos (FI) gauged supergravity. It essentially involves the stabilization of the symplectic vector of gauge couplings (FI parameters) under the action of the U-duality symmetry of the ungauged theory. In particular we are interested in those transformations that act non-trivially on the solutions and produce scalar hair and dyonic black holes from a given seed. We illustrate the procedure for finding this group in general and then show how it works in some specific models. For the prepotential F = −iX0X1, we use our method to add one more parameter to the rotating Chow-Compère solution, representing scalar hair.
http://link.springer.com/journal/13130
Black Holes in String Theory; Supergravity Models; Supersymmetry and Duality; Nuclear and High Energy Physics
Cacciatori, SERGIO LUIGI; Klemm, Dietmar; Rabbiosi, Marco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2052078
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