Nonlinear symmetries of black hole entropy in gauged supergravity

Abstract

Freudenthal duality in N=2, D=4 ungauged supergravity is generated by an anti-involutive operator that acts on the electromagnetic fluxes, and results to be a symmetry of the Bekenstein-Hawking entropy. We show that, with a suitable extension, this duality can be generalized to the abelian gauged case as well, even in presence of hypermultiplets. By defining Freudenthal duality along the scalar flow, one can prove that two configurations of charges and gaugings linked by the Freudenthal operator share the same set of values of the scalar fields at the black hole horizon. Consequently, Freudenthal duality is promoted to a nonlinear symmetry of the black hole entropy. We explicitly show this invariance for the model with prepotential $F=-i{X}^0{X}^1$ and Fayet-Iliopoulos gauging.

16 pages, uses jheppub.sty

References in corpus (11)

• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Black holes admitting a Freudenthal dual
• Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces
• BPS Black Holes
• d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
• BPS black holes in N=2 D=4 gauged supergravities
• Black-Hole Attractors in N=1 Supergravity
• On the non-BPS first order flow in N=2 U(1)-gauged Supergravity
• Black Hole Attractors and Pure Spinors
• Stability of flux vacua in the presence of charged black holes
• Symplectically invariant flow equations for N=2, D=4 gauged supergravity with hypermultiplets

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