AdS Black Holes from Duality in Gauged Supergravity

Abstract

We study and utilize duality transformations in a particular STU-model of four dimensional gauged supergravity. This model is a truncation of the de Wit-Nicolai N=8 theory and as such has a lift to eleven-dimensional supergravity on the seven-sphere. Our duality group is $U(1{)}^3$ and while it can be applied to any solution of this theory, we consider the known asymptotically AdS${}_4$, supersymmetric black holes and focus on duality transformations which preserve supersymmetry. For static black holes we generalize the supersymmetric solutions of Cacciatori and Klemm from three magnetic charges to include two additional electric charges and argue that this is co-dimension one in the full space of supersymmetric static black holes in the STU-model. These new static black holes have nontrivial profiles for axions. For rotating black holes, we generalize the known two-parameter supersymmetric solution to include an additional parameter which represents scalar hair. When lifted to M-theory, these black holes correspond to the near horizon geometry of a stack of BPS rotating M2-branes, spinning on an $S^7$ which is fibered non-trivially over a Riemann surface.

21 pages

References in corpus (6)

• Four-Dimensional SCFTs from M5-Branes
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Rotating black holes in 4d gauged supergravity
• Rotating BPS black holes in matter-coupled AdS(4) supergravity
• On the non-BPS first order flow in N=2 U(1)-gauged Supergravity
• 5D Black Holes and Non-linear Sigma Models

Cited by in corpus (13)

• Black holes in N=8 supergravity from SO(4,4) hidden symmetries
• Static BPS Black Holes in AdS4 with General Dyonic Charges
• Static BPS black holes in U(1) gauged supergravity
• On the On-Shell: The Action of AdS${}_4$ Black Holes
• Dimensional reduction of BPS attractors in AdS gauged supergravities
• First order flow for non-extremal AdS black holes and mass from holographic renormalization
• AdS${}_5$ black strings in the stu model of FI-gauged $N=2$ supergravity
• Magnetic charge and black hole supersymmetric quantum statistical relation
• Black holes with halos
• Wilson lines for AdS_5 black strings
• Duality invariance in Fayet-Iliopoulos gauged supergravity
• Quarter-BPS Black Holes in AdS${}_4$-NUT from $N=2$ Gauged Supergravity
• Black hole attractors and U(1) Fayet-Iliopoulos gaugings: analysis and classification