Black holes with halos

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: Discussionmentioning

confidence: 99%

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

Halmagyi

Lal

2018

“…In [49], the authors write the supergravity vector fields in terms of two massless eigenmodes and a massive one, whose magnetic charges are…”

Section: The Magnetic Black Hole Entropymentioning

confidence: 99%

Black holes with baryonic charge and $$ \mathcal{I} $$ -extremization

Kim

2019

Recently it was discovered that twisted superconformal index I can be used to understand the Bekenstein-Hawking entropy of magnetically charged black holes in AdS spacetime. In this paper we apply the so-called I-extremization procedure to threedimensional gauge field theories and their geometric dual, focusing in particular on the seven-dimensional Sasaki-Einstein manifold M 1,1,1 . We generalize recent studies on relations among toric geometry, variational principles, and black hole entropy to the case of AdS 2 × Y 9 , where Y 9 is a fibration of toric Sasaki-Einstein manifold M 1,1,1 over a twodimensional Riemann surface Σ g . The nine-dimensional variational problem is given in terms of an entropy functional. In order to illustrate the computations as explicitly as possible, we consider cases where either only mesonic or baryonic fluxes are turned on. By employing the operator counting method, we calculate the S 3 free energy and the topologically twisted index I at large-N . The result for I, it turns out, can be also obtained from the variational principle of the entropy functional with mesonic fluxes. We also study asymptotically AdS 4 black holes which are magnetically charged with respect to the vector field in the Betti multiplet. By extremizing the entropy functional with baryonic flux, we compute the entropy and find that it agrees with the entropy of an explicit solution in a four-dimensional gauged supergravity which is a consistent truncation of eleven-dimensional supergravity in AdS 4 × M 1,1,1 . arXiv:1904.05344v2 [hep-th]

“…When uplifted to eleven dimensions, this solution corresponds to the Freund-Rubin AdS 4 × S 7 vacuum [8] describing the near-horizon geometry of the M2-brane. A charged version of this AdS 4 vacuum corresponds to the ultraviolet behaviour of the BPS black holes constructed in [1,2] (see refs [9,10,11] for M-theory models also containing hypermultiplets). In contrast, the infrared behaviour approaches an AdS 2 × S 2 geometry [12] with the scalars determined by the attractor mechanism [2,13,14].…”

mentioning

confidence: 99%

BPS black holes from massive IIA on S6

Guarino

Tarrío

2017

We present BPS black hole solutions in a four-dimensional N = 2 supergravity with an abelian dyonic gauging of the universal hypermultiplet moduli space. This supergravity arises as the SU(3)-invariant subsector in the reduction of massive IIA supergravity on a six-sphere. The solutions are supported by non-constant scalar, vector and tensor fields and interpolate between a unique AdS 2 × H 2 geometry in the near-horizon region and the domain-wall DW 4 (four-dimensional) description of the D2-brane at the boundary. Some special solutions with charged AdS 4 or non-relativistic scaling behaviours in the ultraviolet are also presented.