The Freudenthal gauge symmetry of the black holes of N=2,d=4 supergravity
arXiv:1211.7296 · doi:10.1007/JHEP05(2013)011
Abstract
We show that the representation of black-hole solutions in terms of the variables H^M which are harmonic functions in the supersymmetric case is non-unique due to the existence of a local symmetry in the effective action. This symmetry is a continuous (and local) generalization of the discrete Freudenthal transformations initially introduced for the black-hole charges and can be used to rewrite the physical fields of a solution in terms of entirely different-looking functions.
Latex2e file, 15 pages, no figures
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- Black holes and equivariant charge vectors in N=2,d=4 supergravity
- On anharmonic stabilisation equations for black holes
- Black holes and general Freudenthal transformations
- Nonlinear symmetries of black hole entropy in gauged supergravity
- non-BPS walls of marginal stability
- Freudenthal ranks: GHZ vs. W
- Freudenthal duality of near-extremal black holes and Jackiw-Teitelboim gravity
- Freudenthal Duality in Gravity: from Groups of Type E7 to Pre-Homogeneous Spaces
- The violation of the No-Hair Conjecture in four-dimensional ungauged Supergravity
- On hvLif-like solutions in gauged Supergravity
- Regular 3-charge 4D black holes and their microscopic description
- New supersymmetric black holes in four dimensional N=2 supergravity
- Topological solutions in ungauged Supergravity
- Freudenthal Duality in Conformal Field Theory