Duality invariance in Fayet-Iliopoulos gauged supergravity
| Autor: | Dietmar Klemm, Marco Rabbiosi, Sergio L. Cacciatori |
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| Rok vydání: | 2016 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics 010308 nuclear & particles physics Supergravity Scalar (mathematics) Gauged supergravity Duality (optimization) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) U-duality 01 natural sciences General Relativity and Quantum Cosmology Symmetry (physics) Black Holes in String Theory Supergravity Models Supersymmetry and Duality High Energy Physics - Theory (hep-th) 0103 physical sciences Homogeneous space 010306 general physics Symplectic geometry Mathematical physics |
| Zdroj: | Journal of High Energy Physics |
| DOI: | 10.48550/arxiv.1606.05160 |
| Popis: | 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. Comment: 31 pages, uses jheppub.sty. Final version to appear on JHEP |
| Databáze: | OpenAIRE |
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