Kerr/CFT Correspondence and Five-Dimensional BMPV Black Holes

Isono, Hiroshi; Tai, Ta-Sheng; Wen, Wen-Yu

doi:10.1142/s0217751x09047533

Cited by 53 publications

(40 citation statements)

References 28 publications

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“…Comparing (9) with the Kerr case, we find they have the similar form, the difference is the values of r ± . In fact, (9) can also be derived from the SL(2, R) Casimir operator, which reflects the SL(2, R) L × SL(2, R) R symmetry of the near-region scalar field equation. This is improved in the following.…”

Section: Hidden Conformal Symmetry Of the Kerr-sen Black Holementioning

confidence: 65%

Hidden conformal symmetry of rotating charged black holes

Chen

Wang

et al. 2010

Gen Relativ Gravit

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Motivated by the recent work of the hidden conformal symmetry of the Kerr black hole, we investigate the hidden conformal symmetry of a Kerr-Sen black hole and a Kerr-Newman-Kasuya black hole. Our result shows the conformal symmetry is spontaneously broken due to the periodicity of the azimuthal angle. The absorption across section is in consistence with the finite temperature absorption cross section for a 2D CFT. The entropies of the black holes are reproduced by the Cardy formula.Comment: minor changes, accepted versio

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Section: Hidden Conformal Symmetry Of the Kerr-sen Black Holementioning

confidence: 65%

Hidden conformal symmetry of rotating charged black holes

Chen

Wang

et al. 2010

Gen Relativ Gravit

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“…One sees similar squashed geometries with AdS 2 and AdS 3 factors in decoupling limits of near-extremal black holes in anti-de Sitter space [17][18][19]. (Also see [38][39][40][41][42][43][44][45][46][47].) The Kerr black hole is invariant under time and angularφ translations.…”

Section: Jhep02(2010)017mentioning

confidence: 81%

What is a chiral 2d CFT? And what does it have to do with extremal black holes?

Balasubramanian

Boer²,

Sheikh-Jabbari

et al. 2010

J. High Energ. Phys.

110

191

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Abstract:The near horizon limit of the extremal BTZ black hole is a "self-dual orbifold" of AdS 3 . This geometry has a null circle on its boundary, and thus the dual field theory is a Discrete Light Cone Quantized (DLCQ) two dimensional CFT. The same geometry can be compactified to two dimensions giving AdS 2 with a constant electric field. The kinematics of the DLCQ show that in a consistent quantum theory of gravity in these backgrounds there can be no dynamics in AdS 2 , which is consistent with older ideas about instabilities in this space. We show how the necessary boundary conditions eliminating AdS 2 fluctuations can be implemented, leaving one copy of a Virasoro algebra as the asymptotic symmetry group. Our considerations clarify some aspects of the chiral CFTs appearing in proposed dual descriptions of the near-horizon degrees of freedom of extremal black holes.

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“…The first example is that of the Kerr/CFT correspondence [11] and its generalizations [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. In its generalized form, this correspondence explains the entropy of all extremal black holes (in four and five dimensions at least) in terms of state counting in a conformal field theory.…”

Section: Introductionmentioning

confidence: 99%

Kerr/CFT, dipole theories and nonrelativistic CFTs

El-Showk

Guica

2012

J. High Energ. Phys.

142

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We study solutions of type IIB supergravity which are SL(2, R)×SU(2)×U(1) 2 invariant deformations of AdS 3 ×S 3 ×K3 and take the form of products of self-dual spacelike warped AdS 3 and a deformed three-sphere. One of these backgrounds has been recently argued to be relevant for a derivation of Kerr/CFT from string theory, whereas the remaining ones are holographic duals of two-dimensional dipole theories and their S-duals. We show that each of these backgrounds is holographically dual to a deformation of the DLCQ of the D1-D5 CFT by a specific supersymmetric (1,2) operator, which we write down explicitly in terms of twist operators at the free orbifold point. The deforming operator is argued to be exactly marginal with respect to the zero-dimensional nonrelativistic conformal (or Schrödinger) group -which is simply SL(2, R) L × U(1) R . Moreover, in the supergravity limit of large N and strong coupling, no other single-trace operators are turned on. We thus propose that the field theory duals to the backgrounds of interest are nonrelativistic CFTs defined by adding the single Scrödinger-invariant (1, 2) operator mentioned above to the original CFT action. Our analysis indicates that the rotating extremal black holes we study are best thought of as finite right-moving temperature (non-supersymmetric) states in the above-defined supersymmetric nonrelativistic CFT and hints towards a more general connection between Kerr/CFT and two-dimensional non-relativistic CFTs.

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Kerr/CFT Correspondence and Five-Dimensional BMPV Black Holes

Cited by 53 publications

References 28 publications

Hidden conformal symmetry of rotating charged black holes

Hidden conformal symmetry of rotating charged black holes

What is a chiral 2d CFT? And what does it have to do with extremal black holes?

Kerr/CFT, dipole theories and nonrelativistic CFTs

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