Dyonic AdS black holes in maximal gauged supergravity

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.

Section: Jhep03(2018)146mentioning

confidence: 99%

“…For all the BPS solutions of [7] the metric function e 2V is a quartic polynomial and by comparison with [30] it appears that the corresponding space of finite temperature solutions has e 2V → e 2V − 2ηr (2.33)…”

Section: Universal Black Holementioning

confidence: 99%

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

Halmagyi

Lal

2018

“…Despite the fact that X and Y are not uniquely defined, LPP interpret Y as some "scalar charge" and X as the corresponding scalar potential evaluated on the horizon. That solution to the problem has been criticized in, e.g., [23]. It is indeed unclear how a scalar charge can be defined as there is no global symmetry associated to scalar fields.…”

Section: Jhep08(2016)049mentioning

confidence: 99%

Einstein-Katz action, variational principle, Noether charges and the thermodynamics of AdS-black holes

Anabalón

Deruelle

Julié

2016

In this paper we describe 4-dimensional gravity coupled to scalar and Maxwell fields by the Einstein-Katz action, that is, the covariant version of the "Gamma-Gamma − Gamma-Gamma" part of the Hilbert action supplemented by the divergence of a generalized "Katz vector". We consider static solutions of Einstein's equations, parametrized by some integration constants, which describe an ensemble of asymptotically AdS black holes. Instead of the usual Dirichlet boundary conditions, which aim at singling out a specific solution within the ensemble, we impose that the variation of the action vanishes on shell for the broadest possible class of solutions. We will see that, when a long-range scalar "hair" is present, only sub-families of the solutions can obey that criterion. The KatzBicak-Lynden-Bell ("KBL") superpotential built on this (generalized) vector will then give straightforwardly the Noether charges associated with the spacetime symmetries (that is, in the static case, the mass). Computing the action on shell, we will see next that the solutions which obey the imposed variational principle, and with Noether charges given by the KBL superpotential, satisfy the Gibbs relation, the Katz vectors playing the role of "counterterms". Finally, we show on the specific example of dyonic black holes that the sub-class selected by our variational principle satisfies the first law of thermodynamics when their mass is defined by the KBL superpotential.

“…8 We can then use the same kind of technique that we used in section 3.3, to generate solutions of the deformed family of theories simply by making duality rotations of already-known solutions of the original undeformed theory. For example, a rotating dyonic black hole solution of the pairwise-equal STU gauged supergravity was recently constructed in [29], generalising the purely electric rotating black holes [18]. It is then straightforward to construct dyonic solutions in the de Roo-Wagemans theory, by taking the solution in [29] with its field strengthsF (1) andF (2) , with their dualsḠ (1) and G (2) , and then taking the field strengths in the de Roo-Wagemans theories to be given by 13) with the metric, dilaton and axion fields left unchanged.…”

Section: Jhep04(2014)175mentioning

confidence: 99%

An ω deformation of gauged STU supergravity

Lü

Pang

Pope

2014

Four-dimensional N = 2 gauged STU supergravity is a consistent truncation of the standard N = 8 gauged SO(8) supergravity in which just the four U(1) gauge fields in the Cartan subgroup of SO(8) are retained. One of these is the graviphoton in the N = 2 supergravity multiplet and the other three lie in three vector multiplets. In this paper we carry out the analogous consistent truncation of the newly-discovered family of ω-deformed N = 8 gauged SO(8) supergravities, thereby obtaining a family of ω-deformed STU gauged supergravities. Unlike in some other truncations of the deformed N = 8 supergravity that have been considered, here the scalar potential of the deformed STU theory is independent of the ω parameter. However, it enters in the scalar couplings in the gauge-field kinetic terms, and it is non-trivial because of the minimal couplings of the fermion fields to the gauge potentials. We discuss the supersymmetry transformation rules in the ω-deformed supergravities, and present some examples of black hole solutions.