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 / S.L. Cacciatori, D. Klemm, M. Rabbiosi. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2016:9(2016 Sep), pp. 88.1-88.27. [10.1007/JHEP09(2016)088]

Duality invariance in Fayet-Iliopoulos gauged supergravity

D. Klemm
Secondo
;
M. Rabbiosi
Ultimo
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.
black holes in string theory; supergravity models; supersymmetry and duality; high energy physics - theory; high energy physics - theory; general relativity and quantum cosmology; nuclear and high energy physics
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/467515
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