2016/06/30 by Sergio L. Cacciatori, Dietmar Klemm, Marco Rabbiosi · 1 citation
Physics and Astronomy · #hep-th #gr-qc
paper · pdf · doi:10.1007/jhep09(2016)088
31 pages, uses jheppub.sty. Final version to appear on JHEP
arxiv created 2016/09/13 · arxiv updated 2016/10/12
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.