Topologically twisted indices in five dimensions and holography

Self Cite

124

We provide a unifying entropy functional and an extremization principle for black holes and black strings in AdS 4 × S 7 and AdS 5 × S 5 with arbitrary rotation and generic electric and magnetic charges. This is done by gluing gravitational blocks, basic building blocks that are directly inspired by the holomorphic blocks appearing in the factorization of supersymmetric partition functions in three and four dimensions. We also provide an explicit realization of the attractor mechanism by identifying the values of the scalar fields at the horizon with the critical points of the entropy functional. We give examples based on dyonic rotating black holes with a twist in AdS 4 × S 7 , rotating black strings in AdS 5 × S 5 , dyonic Kerr-Newman black holes in AdS 4 × S 7 and Kerr-Newman black holes in AdS 5 × S 5 . In particular, our entropy functional extends existing results by adding rotation to the twisted black holes in AdS 4 and by adding flavor magnetic charges for the Kerr-Newman black holes in AdS 4 . We also discuss generalizations to higher-dimensional black objects. arXiv:1909.10550v1 [hep-th] 23 Sep 20191 The BPS conditions impose a linear constraint on the magnetic charges and some non-linear con-5 This has been checked at large N in full generality for static mAdS 4 black holes [1,41], rotating black strings in AdS 5 [19], KN-AdS 5 black holes with equal angular momenta [4] and at large N but in the Cardy limit for general purely electric KN-AdS 4 and KN-AdS 5 [3,42]. It is still not known if the large N limit of the superconformal index of N = 4 SYM reproduces the entropy functional, and therefore the entropy, in the case of KN-AdS 5 black holes with unequal angular momenta.6 See also [43] for a different approach.10 In particular, in the regime considered in (4.15) the minus sign in the chemical potential is equivalent to a complex conjugate. This might explain the complex conjugate we detect in gravity, see (4.9). 11 We correct a misprint in the formula for the entropy in [21]. Note also that we have redefined the angular momentum as J there = − 1 2 J here (see footnote 21).An important symmetry of the equations of motion of supergravity is the electromagnetic duality. As the name suggests, the n V + 1 electric and magnetic gauge field strengths F Λ and G Λ (Λ = 0, . . . , n V ) can be transformed among each other under the symplectic group Sp(2(n V + 1), Z), resulting in a rotation of the electromagnetic charges,

Section: Six Dimensionsmentioning

confidence: 81%

“…It is easy to see that the entropy functionals found in [12] and [76] for KN-AdS 7 and AdS 7 black strings, respectively, can be obtained by gluing blocks of this form.…”

Section: Seven Dimensionsmentioning

confidence: 95%

Section: Six Dimensionsmentioning

confidence: 99%

Section: Six Dimensionsmentioning

confidence: 99%

“…17) where (see[76, Example. 2.2])ω 1,(1) = ω 1 , ω 2,(1) = ω 2 , ω 1,(2) = ω 2 , ω 2,(2) = −ω 1 , ω 1,(3) = −ω 1 , ω 2,(3) = −ω 2 , ω 1,(4) = −ω 2 , ω 2,(4) = ω 1 .…”

mentioning

confidence: 99%

See 3 more Smart Citations

Gluing gravitational blocks for AdS black holes

Hosseini

Hristov

Zaffaroni

2019

Self Cite

124

Supersymmetric AdS6 black holes from F(4) gauged supergravity

Suh

2019

Employing uplift formulae, we uplift supersymmetric AdS 6 black holes from F (4) gauged supergravity to massive type IIA and type IIB supergravity. In massive type IIA supergravity, we obtain supersymmetric AdS 6 black holes asymptotic to the Brandhuber-Oz solution. In type IIB supergravity, we obtain supersymmetric AdS 6 black holes asymptotic to the non-Abelian T-dual of the Brandhuber-Oz solution.

Holographic duals of five-dimensional SCFTs on a Riemann surface

Bah

Passias

Weck

2019

We study the twisted compactifications of five-dimensional Seiberg SCFTs, with SU M (2) × E N f +1 flavor symmetry, on a generic Riemann surface that preserves four supercharges. The five-dimensional SCFTs are obtained from the decoupling limit of N D4-branes probing a geometry of N f < 8 D8-branes and an O8-plane. In addition to the R-symmetry, we can also twist the flavor symmetry by turning on background flux on the Riemann surface. In particular, in the string theory construction of the five-dimensional SCFTs, the background flux for the SU M (2) has a geometric origin, similar to the topological twist of the R-symmetry. We argue that the resulting low-energy three-dimensional theories describe the dynamics on the world-volume of the N D4-branes wrapped on the Riemann surface in the O8/D8 background. The Riemann surface can be described as a curve in a Calabi-Yau three-fold that is a sum of two line bundles over it. This allows for an explicit construction of AdS 4 solutions in massive IIA supergravity dual to the worldvolume theories, thereby providing strong evidence that the three-dimensional SCFTs exist in the low-energy limit of the compactification of the five-dimensional SCFTs. We compute observables such as the free energy and the scaling dimensions of operators dual to D2-brane probes; these have non-trivial dependence on the twist parameter for the U (1) in SU M (2). The free energy exhibits the N 5/2 scaling that is emblematic of five-dimensional SCFTs.1 See also [5] for further studies and generalizations of the Seiberg SCFTs. 2 Holographic duals of twisted compactifications of five-dimensional SCFTs were also studied in [16] using six-dimensional F (4) supergravity. There, twist of a U (1) flavor symmetry was considered by adding a vector multiplet to the theory. However it was not proven that the theory considered is a consistent truncation of massive IIA supergravity.