BPS black holes in a non-homogeneous deformation of the stu model of N = 2, D = 4 gauged supergravity

Klemm, Dietmar; Marrani, Alessio; Petri, Nicolò; Santoli, Camilla

doi:10.1007/jhep09(2015)205

Cited by 14 publications

(25 citation statements)

References 102 publications

(131 reference statements)

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“…Starting from [3], the solution for BPS black holes in AdS 4 has been developed [19][20][21][22] and in [7] a general solution for dyonically charged, AdS 4 black holes in FI-gauged supergravity (with general dyonic gaugings) was derived. This solution assumes that M v is a homogeneous space and is presented in terms of the quartic invariant 7 I 4 .…”

Section: Bps Solutionsmentioning

confidence: 99%

“…The generalization of (3.21) to include scalar fields has been studied [13] and quite recently revisited to include the constraints imposed by supersymmetry [11,12], following which we generalize the second term in (3.21) with part of the superpotential (3.9) 22) canceling exactly the similar term in (3.15). The precise generalization of the first term in (3.21) is not immediately clear but it should be of the form…”

Section: Cancellation Of Divergencesmentioning

confidence: 99%

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On the on-shell: the action of AdS4 black holes

Halmagyi

Lal

2018

J. High Energ. Phys.

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We compute the on-shell action of static, BPS black holes in AdS 4 from N = 2 gauged supergravity coupled to vector multiplets and show that for a certain class it is equal to minus the entropy of the black hole. Holographic renormalization is used to demonstrate that with Neumann boundary conditions on the scalar fields, the divergent and finite contributions from the asymptotic boundary vanish. The entropy arises from the extrinsic curvature on Σ g × S 1 evaluated at the horizon, where Σ g may have any genus g ≥ 0. This provides a clarification of the equivalence between the partition function of the twisted ABJM theory on Σ g × S 1 and the entropy of the dual black hole solutions. It also demonstrates that the complete entropy resides on the AdS 2 × Σ g horizon geometry, implying the absence of hair for these gravity solutions.

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Section: Bps Solutionsmentioning

confidence: 99%

Section: Cancellation Of Divergencesmentioning

confidence: 99%

On the on-shell: the action of AdS4 black holes

Halmagyi

Lal

2018

J. High Energ. Phys.

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“…The invariance (3.21) holds thus also in JHEP04(2017)013 models with non-homogeneous special Kähler manifolds, like e.g. the quantum stu model recently treated in [19].…”

Section: Jhep04(2017)013mentioning

confidence: 79%

“…e.g. [9][10][11][12][13][14][15][16][17][18][19] for an (incomplete) list of references. In contrast with the case of ungauged theories in which hypermultiplets can always be consistently decoupled, in gauged supergravity hyperscalars may be charged and they actively participate to the solution.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear symmetries of black hole entropy in gauged supergravity

Klemm

Marrani

Petri

et al. 2017

J. High Energ. Phys.

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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 = −iX 0 X 1 and Fayet-Iliopoulos gauging.

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“…of [24], all special Kähler geometries described by the cubic holomorphic prepotential (2.1) (usually named d-geometries) are characterized by a 'minimal' electric-magnetic (U-)duality symmetry, which pertains to (the large volume limit of) Calabi-Yau compactifications ( [26]; for recent accounts, cfr. [27] and [28], and Refs. therein).…”

Section: Non-homogeneity and U-invariancementioning

confidence: 99%

Supersymmetric black holes and Freudenthal duality

Marrani

Mandal

Tripathy

2017

Int. J. Mod. Phys. A

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We study the effect of Freudenthal duality on supersymmetric extremal black hole attractors in N = 2, D = 4 ungauged supergravity. Freudenthal duality acts on the dyonic black hole charges as an anti-involution which keeps the black hole entropy and the critical points of the effective black hole potential invariant. We analyze its effect on the recently discovered distinct, mutually exclusive phases of axionic supersymmetric black holes, related to the existence of non-trivial involutory constant matrices. In particular, we consider a supersymmetric D0 − D4 − D6 black hole and we explicitly Freudenthal-map it to a supersymmetric D0 − D2 − D4 − D6 black hole. We thus show that the charge representation space of a supersymmetric D0 − D2 − D4 − D6 black hole also contains mutually exclusive domains.

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BPS black holes in a non-homogeneous deformation of the stu model of N = 2, D = 4 gauged supergravity

Cited by 14 publications

References 102 publications

On the on-shell: the action of AdS4 black holes

On the on-shell: the action of AdS4 black holes

Nonlinear symmetries of black hole entropy in gauged supergravity

Supersymmetric black holes and Freudenthal duality

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