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 = −iX 0 X 1, we use our method to add one more parameter to the rotating Chow-Compère solution, representing scalar hair.
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Cacciatori, S.L., Klemm, D. & Rabbiosi, M. Duality invariance in Fayet-Iliopoulos gauged supergravity. J. High Energ. Phys. 2016, 88 (2016). https://doi.org/10.1007/JHEP09(2016)088
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DOI: https://doi.org/10.1007/JHEP09(2016)088