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arXiv · 1606.05160

Duality invariance in Fayet-Iliopoulos gauged supergravity

Sergio L. Cacciatori·Dietmar Klemm·Marco Rabbiosi
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Abstract

We propose a geometric method to study the residual symmetries in $N=2$, $d=4$ $\text{U}(1)$ 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 $F=-iX^0X^1$, we use our method to add one more parameter to the rotating Chow-Comp\`ere solution, representing scalar hair.

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Sergio L. Cacciatori, Dietmar Klemm, Marco Rabbiosi. 2016-06-16. Duality invariance in Fayet-Iliopoulos gauged supergravity. https://doi.org/10.1007/jhep09(2016)088

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