Supersymmetric AdS6 black holes from F(4) gauged supergravity

Suh, Minwoo

doi:10.1007/jhep01(2019)035

Cited by 51 publications

(63 citation statements)

References 96 publications

(265 reference statements)

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“…is a 1-loop correction, etc. 12 In principle, these coefficients can be computed via higher loop Feynman diagrams, although this may not be very efficient. To compare with supergravity we must evaluate (4.7) in the large N limit.…”

Section: )mentioning

confidence: 99%

“…The final answer is the same and the limit is well defined. 12 Here we have included a log ω term in the ellipses in (4.7). This term will not be important in the large N limit.…”

Section: Large Nmentioning

confidence: 99%

“…This was first achieved for five-dimensional black holes in asymptotically flat spacetime in the seminal work [1]. For black holes in asymptotically locally AdS spacetimes this has only been recently achieved, starting with certain magnetic black holes in 4d in [2], extended in various ways in [3][4][5][6][7], for magnetic black holes in 6d in [8][9][10][11][12][13], and for spinning black holes in 5d in [14][15][16][17][18][19]. These calculations rely on holography, exploiting the properties of the asymptotic SCFT dual and the powerful supersymmetric localization techniques developed in the past decade.…”

Section: Introductionmentioning

confidence: 99%

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Universal spinning black holes and theories of class $$ \mathcal{R} $$

Bobev

Crichigno

2019

J. High Energ. Phys.

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We study a supersymmetric, rotating, electrically charged black hole in AdS 4 which is a solution of four-dimensional minimal gauged supergravity. Using holography we show that the free energy on S 3 and the superconformal index of the dual three-dimensional N = 2 SCFT, in the planar limit, are related in a simple universal way. This result applies to large classes of SCFTs constructed from branes in string and M-theory which we discuss in some detail. For theories of class R, which arise from N M5-branes wrapped on hyperbolic three-manifolds, we show that the superconformal index agrees with the black hole entropy in the large N limit. arXiv:1909.05873v2 [hep-th]

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Section: )mentioning

confidence: 99%

“…The final answer is the same and the limit is well defined. 12 Here we have included a log ω term in the ellipses in (4.7). This term will not be important in the large N limit.…”

Section: Large Nmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Universal spinning black holes and theories of class $$ \mathcal{R} $$

Bobev

Crichigno

2019

J. High Energ. Phys.

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“…lower-dimensional AdS spaces, arise when the radii of cycles λ i and the scalar φ are constants. We have checked that all solutions in previous works [17,56] 4 can be obtained from these BPS equations.…”

Section: B a Survey Of Wrapped Brane Solutionsmentioning

confidence: 99%

“…We point out that it is obviously inconsistent to set ζ 1 = ζ 2 = ζ 3 , and correct an error in eq. (4.13) of Ref [56]…”

mentioning

confidence: 95%

Wrapped brane solutions in romans F(4) gauged supergravity

Kim

Shim

2020

Nuclear Physics B

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We explore the spectrum of lower-dimensional anti-de Sitter (AdS) solutions in F (4) gauged supergravity in six dimensions. The ansatz employed corresponds to D4-branes partially wrapped on various supersymmetric cycles in special holonomy manifolds. Re-visiting and extending previous results, we study the cases of two, three, and four-dimensional supersymmetric cycles within Calabi-Yau threefold, fourfold, G 2 , and Spin (7) holonomy manifolds. We also report on non-supersymmetric AdS vacua, and check their stability in the consistently truncated lowerdimensional effective action, using the Breitenlohner-Freedman bound. We also analyze the IR behavior and discuss the admissibility of singular flows.

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Supersymmetric AdS6 black holes from matter coupled F(4) gauged supergravity

Suh

2019

J. High Energ. Phys.

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In matter coupled F (4) gauged supergravity in six dimensions, we study supersymmetric AdS 6 black holes with various horizon geometries. We find new AdS 2 × Σ g 1 × Σ g 2 horizons with g 1 > 1 and g 2 > 1, and present the black hole solution numerically. The full black hole is an interpolating geometry between the asymptotically AdS 6 boundary and the AdS 2 × Σ g 1 ×Σ g 2 horizon. We also find black holes with horizons of Kähler four-cycles in Calabi-Yau fourfolds and Cayley four-cycles in Spin(7) manifolds.to the AdS 4 black hole cases in [14,15,16], the Bekenstein-Hawking entropy of the black holes nicely matched with the topologically twisted index of 5d U Sp(2N ) gauge theory on Σ g 1 ×Σ g 2 ×S 1 in the large N limit [17,18]. We also considered black hole horizons of Kähler four-cycles in Calabi-Yau fourfolds and Cayley four-cycles in Spin (7) manifolds.Pure F (4) gauged supergravity is a consistent truncation of massive type IIA supergravity [4] and type IIB supergravity [19,20,21] on a four-hemisphere. Although it is not known whether it is also a consistent truncation of ten-dimensional supergravity, one can couple vector multiplets to pure F (4) gauged supergravity [22]. In this theory, new fixed points and holographic RG flows were studied in [23,24,25]. See [26,27,28] also for other studies in this theory.In this paper, in matter coupled F (4) gauged supergravity, we continue our study on supersymmetric AdS 6 black holes. We consider F (4) gauged supergravity coupled to three vector multiplets, and its U (1) × U (1)-invariant truncation first considered in [25]. We consider black hole solutions with a horizon which is a product of two Riemann surfaces, AdS 2 × Σ g 1 × Σ g 2 . We derive supersymmetry equations and obtain AdS 2 solutions which was first found in [29]. The AdS 2 horizon exists only for the H 2 × H 2 background, and not for the H 2 × S 2 or S 2 × S 2 backgrounds. We present the full black hole solutions numerically.We also consider black holes with horizons of Kähler four-cycles in Calabi-Yau fourfolds and Cayley four-cycles in Spin (7) manifolds. For Cayley four-cycles in Spin(7) manifolds, we consider the SU (2) diag -invariant truncation of F (4) gauged supergravity coupled to three vector multiplets. We find new AdS 2 horizons. It will be interesting to have a field theory interpretation of this AdS 2 solution.In section 2, we review matter coupled F (4) gauged supergravity in six dimensions. In section 3, we consider F (4) gauged supergravity coupled to three vector multiplets, and its U (1) × U (1)invariant truncation. We consider supersymmetric black hole solutions with a horizon which is a product of two Riemann surfaces. In section 4, we consider supersymmetric black hole solutions with horizons of Kähler four-cycles in Calabi-Yau fourfolds and Cayley four-cycles in Spin (7) manifolds. In appendix A, we present the equations of motion for the U (1) × U (1)-invariant truncation.Note added: In the final stage of this work, we became aware of [29] which has some overlap with the resu...

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Supersymmetric AdS6 black holes from F(4) gauged supergravity

Cited by 51 publications

References 96 publications

Universal spinning black holes and theories of class $$ \mathcal{R} $$

Universal spinning black holes and theories of class $$ \mathcal{R} $$

Wrapped brane solutions in romans F(4) gauged supergravity

Supersymmetric AdS6 black holes from matter coupled F(4) gauged supergravity

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