Holography in three-dimensional Kerr–de Sitter space with a gravitational Chern–Simons term

Park, Mu-In

doi:10.1088/0264-9381/25/13/135003

Cited by 15 publications

(13 citation statements)

References 74 publications

(370 reference statements)

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“…The scaling limit on the AdS 3 /CFT 2 correspondence by Brown-Henneaux's method enables us to confirm the consistent correspondence between the Newton-Cartan-like geometry with AdS 2 base and the GCA with the non-zero centers. The compatible limit on the bulk side is given by (23), (24) and (26). The central charges C 1 and C 2 , the scaling dimensions ∆ and the rapidity ξ are expressed as (27) and (28) in terms of the parameters of gravity.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…from their definitions (10) and the Virasoro central charges (20). We have not known yet the corresponding canonical formalism for the Newton-Cartan-like geometry, but we have got around it and have obtained the centrally extended GCA on the r → ∞ boundary by the scaling limit (23), (24) and (26) from the Virasoro algebra of the Brown-Henneaux analysis in AdS 3 gravity. The scaling of µ is also consistent with the finite ∆ and ξ, and they are given by…”

Section: Gca Realization On Cosmological Topologically Massive Gravitymentioning

confidence: 99%

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Galilean conformal algebra in two dimensions and cosmological topologically massive gravity

2010

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We consider a realization of the Galilean conformal algebra (GCA) in two dimensional space-time on the AdS boundary of a particular three dimensional gravity theory, the so-called cosmological topologically massive gravity (CTMG), which includes the gravitational Chern-Simons term and the negative cosmological constant. The infinite dimensional GCA in two dimensions is obtained from the Virasoro algebra for the relativistic CFT by taking a scaling limit t → t, x → ǫx with ǫ → 0. The parent relativistic CFT should have left and right central charges of order O(1/ǫ) but opposite in sign in the limit ǫ → 0. On the other hand, by Brown-Henneaux's analysis the Virasoro algebra is realized on the boundary of AdS 3 , but the left and right central charges are asymmetric only by the factor of the gravitational Chern-Simons coupling 1/µ. If µ behaves as of order O(ǫ) under the corresponding limit, we have the GCA with non-trivial centers on AdS boundary of the bulk CTMG. Then we present a new entropy formula for the Galilean field theory from the bulk black hole entropy, which is a non-relativistic counterpart of the Cardy formula. It is also discussed whether it can be reproduced by the microstate counting.

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Section: Summary and Discussionmentioning

confidence: 99%

Section: Gca Realization On Cosmological Topologically Massive Gravitymentioning

confidence: 99%

Galilean conformal algebra in two dimensions and cosmological topologically massive gravity

2010

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“…We immediately note that there will exist self dual type solutions upon identifying u ∼ u + 2πα [35] for both timelike and spacelike W dS 3 . Identifying along more general Killing directions would give rise to particle like objects with conical defects reminiscent to those studied in [36,37,38,39] or objects with CTCs. Indeed, the warped black hole metric for ν 2 < 3 becomes…”

Section: Identifications Of W Dsmentioning

confidence: 99%

Sailing from warped AdS3 to warped dS3 in topologically massive gravity

Anninos¹

2010

J. High Energ. Phys.

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Three-dimensional warped anti-de Sitter space in topologically massive gravity with a negative cosmological constant has been proposed to be holographically dual to a two-dimensional conformal field theory. We extend this proposal to both positive and vanishing values of the cosmological constant where stretched warped anti-de Sitter space is found to be a solution. For positive cosmological constant, another class of warped solutions is obtained by a spacelike (timelike) line fibration over Lorentzian (Euclidean) two-dimensional de Sitter space. These solutions exhibit a cosmological horizon and Hawking temperature much like de Sitter space. Global identifications of this warped de Sitter space may contain a horizon in addition to the cosmological one. At a degenerate point, warped de Sitter space becomes a fibration over twodimensional flat space. Finally, we study scalar waves in these backgrounds. Scalars in stretched warped anti-de Sitter space exhibit superradiance which can be interpreted as Schwinger pair production of charged particles in two-dimensional anti-de Sitter space.

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“…in the vacuum, i.e., L → 0, limit and there is a cosmological horizon at r + = l √ 8Gm with the de Sitter mass m. From this boundary condition, which distinguishes the matter distribution for the smearing of point sources with the classical matter distributions, one obtains A = − m πΓ n 2 + 1 (15) and then (13) reads…”

Section: De Sitter Black Holes and Gravastars From Smeared Mat-tersmentioning

confidence: 99%

Smeared hair and black holes in three-dimensional de Sitter spacetime

Park

2009

Phys. Rev. D

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It is known that there is no three-dimensional analog of de Sitter black holes. I show that the analog does exist when non-Gaussian (i.e., ring-type) smearings of point matter hairs are considered. This provides a new way of constructing black hole solutions from hairs. I find that the obtained black hole solutions are quite different from the usual large black holes in that there are i) large to small black hole transitions which may be considered as inverse Hawking-Page transitions and ii) soliton-like (i.e., non-perturbative) behaviors. For Gaussian smearing, there is no black hole but a gravastar solution exists.

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Holography in three-dimensional Kerr–de Sitter space with a gravitational Chern–Simons term

Cited by 15 publications

References 74 publications

Galilean conformal algebra in two dimensions and cosmological topologically massive gravity

Galilean conformal algebra in two dimensions and cosmological topologically massive gravity

Sailing from warped AdS3 to warped dS3 in topologically massive gravity

Smeared hair and black holes in three-dimensional de Sitter spacetime

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