Duality invariance in Fayet-Iliopoulos gauged supergravity

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 $F=-i{X}^0{X}^1$, we use our method to add one more parameter to the rotating Chow-Compère solution, representing scalar hair.

31 pages, uses jheppub.sty. Final version to appear on JHEP

References in corpus (10)

• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Large $N$ matrix models for 3d $\mathcal{N}=2$ theories: twisted index, free energy and black holes
• Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces
• Special Geometry of Euclidean Supersymmetry III: the local r-map, instantons and black holes
• BPS Black Holes
• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
• Supersymmetric partition functions on Riemann surfaces
• On the non-BPS first order flow in N=2 U(1)-gauged Supergravity
• Abelian Hypermultiplet Gaugings and BPS Vacua in N = 2 Supergravity
• Symplectically invariant flow equations for N=2, D=4 gauged supergravity with hypermultiplets

Cited by in corpus (4)

• Aspects of the dyonic Kerr-Sen-AdS${}_4$ black hole and its ultraspinning version
• On the On-Shell: The Action of AdS${}_4$ Black Holes
• AdS${}_5$ black strings in the stu model of FI-gauged $N=2$ supergravity
• First order flow equations for nonextremal black holes in AdS (super)gravity