General supersymmetric $$\hbox {AdS}_5$$ black holes with squashed boundary

Bombini, Alessandro; Papini, Lorenzo

doi:10.1140/epjc/s10052-019-7015-x

Cited by 8 publications

(14 citation statements)

References 45 publications

(181 reference statements)

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“…which generalizes the formula obtained in [119] (see also [75,76]) to 1/4 BPS black holes with non-trivial magnetic flux on the boundary. 14…”

Section: 85)supporting

confidence: 81%

“…However, these equations admit a much broader class of solutions that would be very interesting to explore. For example, we anticipate that the solutions found recently in [73,74] and [75,76] can be further elucidated using their description in terms of the 1/4 BPS superpotential (3.65). Moreover, this superpotential could be a useful tool in the proof of uniqueness results such as the one of [71] or in the classification of BPS solutions within the SU(2)×U(1) invariant sector of the STU model.…”

Section: Discussion and Future Directionsmentioning

confidence: 90%

“…Both supersymmetric and non-supersymmetric black holes of minimal supergravity with more general asymptotics were obtained numerically in [73,74]. Further supersymmetric solutions with a squashed S 3 at the boundary as well as nontrivial sources for the vector multiplet scalars were presented in [75,76].…”

Section: Solutions With a Squashed S 3 And Vector Multiplet Sourcesmentioning

confidence: 99%

“…In this appendix, we summarize the radial Hamiltonian formulation of the bosonic sector of N = 2 FI gauged supergravity in five dimensions and we use it in order to determine the boundary counterterms for the STU model and to derive the anomalous Ward identities of the dual field theory (see also [76]). A more general analysis that includes the fermionic fields can be found in [1,122].…”

Section: Appendicesmentioning

confidence: 99%

See 3 more Smart Citations

Black hole superpotential as a unifying entropy function and BPS thermodynamics

Ntokos,

Papadimitriou

2021

Preprint

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We develop an effective superpotential formalism for the SU(2)×U(1) invariant sector of N = 2 gauged supergravity in five dimensions with a U(1) 3 Fayet-Iliopoulos gauging, and determine the exact superpotential that describes all 1/4 BPS solutions in this sector. This includes the Gutowski-Reall black holes, but also a much broader class of solutions with a squashed S 3 , magnetic flux and vector multiplet sources, as well as complex Euclidean BPS saddles. Some of these solutions are known only numerically, but the exact superpotential allows us to analytically evaluate the on-shell action, holographic one-point functions and conserved charges of all BPS solutions and to study their thermodynamics. In particular, by examining the supersymmetry Ward identities we show that solutions with supersymmetric vector multiplet sources break supersymmetry spontaneously. We also demonstrate the first law for black holes in the SU(2)×U(1) invariant sector and show that the conserved charges of supersymmetric solutions satisfy the generalized BPS relation derived in [1], which includes the supersymmetric Casimir energy as a consequence of the anomalous supersymmetry transformation of the N = 1 supercurrent at the boundary. Finally, we show that the effective superpotential provides a unifying entropy extremization principle, reproducing Sen's entropy function for near extremal black holes and the Hosseini-Hristov-Zaffaroni functional for complex Euclidean BPS saddles.

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“…which generalizes the formula obtained in [119] (see also [75,76]) to 1/4 BPS black holes with non-trivial magnetic flux on the boundary. 14…”

Section: 85)supporting

confidence: 81%

Section: Discussion and Future Directionsmentioning

confidence: 90%

Section: Solutions With a Squashed S 3 And Vector Multiplet Sourcesmentioning

confidence: 99%

Section: Appendicesmentioning

confidence: 99%

See 2 more Smart Citations

Black hole superpotential as a unifying entropy function and BPS thermodynamics

Ntokos,

Papadimitriou

2021

Preprint

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“…Considering the matter fields, the authors in [21] constructed the deforming black holes in D = 5 minimal gauged supergravity. Moreover, the authors in [22,23] constructed new asymptotically locally Ad S 5 black holes with squashed boundary in N = 2, D = 5 Fayet-Iliopoulos supergravity theory, which generalized the minimal gauged supergravity solutions to the Fayet-Iliopoulos theory with non trivial running scalars in the supersymmetric case.…”

Section: Introductionmentioning

confidence: 99%

Deforming charged black holes with dipolar differential rotation boundary

Sun

et al. 2020

Eur. Phys. J. C

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Motivated by the recent studies of the novel asymptotically global $$\hbox {AdS}_4$$ AdS 4 black hole with deformed horizon, we consider the action of Einstein–Maxwell gravity in AdS spacetime and construct the charged deforming AdS black holes with differential boundary. In contrast to deforming black hole without charge, there exists at least one value of horizon for an arbitrary temperature. The extremum of temperature is determined by charge q and divides the range of temperature into several parts. Moreover, we use an isometric embedding in the three-dimensional space to investigate the horizon geometry. The entropy and quasinormal modes of deforming charged AdS black hole are also studied in this paper. Due to the existence of charge q, the phase diagram of entropy is more complicated. We consider two cases of solutions: (1) fixing the chemical potential $$\mu $$ μ ; (2) changing the value of $$\mu $$ μ according to the values of horizon radius and charge. In the first case, it is interesting to find there exist two families of black hole solutions with different horizon radii for a fixed temperature, but these two black holes have same horizon geometry and entropy. The second case ensures that deforming charged AdS black hole solutions can reduce to standard RN–AdS black holes.

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Black hole superpotential as a unifying entropy function and BPS thermodynamics

Ntokos

Papadimitriou²

2022

J. High Energ. Phys.

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We develop an effective superpotential formalism for the SU(2)×U(1) invariant sector of $$ \mathcal{N} $$ N = 2 gauged supergravity in five dimensions with a U(1)3 Fayet-Iliopoulos gauging, and determine the exact superpotential that describes all 1/4 BPS solutions in this sector. This includes the Gutowski-Reall black holes, but also a much broader class of solutions with a squashed S3, magnetic flux and vector multiplet sources, as well as complex Euclidean BPS saddles. Some of these solutions are known only numerically, but the exact superpotential allows us to analytically evaluate the on-shell action, holographic one-point functions and conserved charges of all BPS solutions and to study their thermodynamics. In particular, by examining the supersymmetry Ward identities we show that solutions with supersymmetric vector multiplet sources break supersymmetry spontaneously. We also demonstrate the first law for black holes in the SU(2)×U(1) invariant sector and show that the conserved charges of supersymmetric solutions satisfy the generalized BPS relation derived in [1], which includes the supersymmetric Casimir energy as a consequence of the anomalous supersymmetry transformation of the $$ \mathcal{N} $$ N = 1 supercurrent at the boundary. Finally, we show that the effective superpotential provides a unifying entropy extremization principle, reproducing Sen’s entropy function for near extremal black holes and the Hosseini-Hristov-Zaffaroni functional for complex Euclidean BPS saddles.

show abstract

General supersymmetric $$\hbox {AdS}_5$$ black holes with squashed boundary

Cited by 8 publications

References 45 publications

Black hole superpotential as a unifying entropy function and BPS thermodynamics

Black hole superpotential as a unifying entropy function and BPS thermodynamics

Deforming charged black holes with dipolar differential rotation boundary

Black hole superpotential as a unifying entropy function and BPS thermodynamics

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