Asymptotic structure of topologically massive gravity in spacelike stretched AdS sector

Blagojević, M.; Cvetković, B.

doi:10.1088/1126-6708/2009/09/006

Cited by 70 publications

(109 citation statements)

References 31 publications

Supporting

Mentioning

102

Contrasting

Order By: Relevance

“…It was pointed out that for the spacelike stretched and the null warped AdS 3 black holes, which are the classical solutions of three-dimensional topological massive gravity with a negative cosmological constant, there exist dual two-dimensional conformal field theory descriptions. The central charges of dual CFT have been confirmed in [6,7] for spacelike case. The quasinormal modes of scalar, vector and spinor perturbations of the spacelike stretched and the null warped AdS 3 black holes were calculated in [8,9].…”

Section: Introductionmentioning

confidence: 74%

Quasinormal modes and hidden conformal symmetry of warpeddS3black hole

Chen

Zhang

2011

Phys. Rev. D

View full text Add to dashboard Cite

In this paper, we analytically calculate the quasinormal modes of scalar, vector, tensor, and spinor perturbations of the warped dS 3 black hole. There are two horizons for the warped dS 3 black hole, namely, the black hole horizon r b and the cosmological horizon r c . In the calculation, we impose the ingoing boundary condition at the black hole horizon and the outgoing boundary condition at the cosmological horizon. We also investigate the hidden conformal symmetry of the warped dS 3 black hole in the region between the black hole horizon and the cosmological horizon r b < r < r c . We use the hidden conformal symmetry to construct the quasinormal modes in an algebraic way and find that the results agree with the analytically ones. It turns out that the frequencies of the quasinormal modes could be identified with the poles in the thermal boundary-boundary correlators. *

show abstract

Section: Introductionmentioning

confidence: 74%

Quasinormal modes and hidden conformal symmetry of warpeddS3black hole

Chen

Zhang

2011

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…They are parameterized by two constants which are usually taken as , the original AdS 3 radius, and (ν 2 − 1) characterizing the departure from AdS 3 . They were observed to display an Asymptotic Symmetry Group (ASG) different from the Brown-Henneaux conformal symmetry group, consisting instead in the semi-direct product of a Virasoro algebra and a u(1) affine Kac-Moody algebra [53][54][55][56][57]. WCFTs are defined as two-dimensional field theories with precisely these symmetries.…”

Section: Jhep06(2016)014mentioning

confidence: 99%

“…Instead, they satisfy the following boundary conditions [53][54][55][56][57] (coordinates are (t, r, φ)):…”

Section: Asymptotic Symmetriesmentioning

confidence: 99%

Warped AdS3 black holes in higher derivative gravity theories

Detournay¹,

Douxchamps²,

Ng³

et al. 2016

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider warped AdS 3 black holes in generic higher derivatives gravity theories in 2+1 dimensions. The asymptotic symmetry group of the phase space containing these black holes is the semi-direct product of a centrally extended Virasoro algebra and an affine u(1) Kac-Moody algebra. Previous works have shown that in some specific theories, the entropy of these black holes agrees with a Cardy-like entropy formula derived for warped conformal field theories. In this paper, we show that this entropy matching continues to hold for the most general higher derivative theories of gravity. We also discuss the existence of phase transitions.

show abstract

“…As the higher derivative terms in TMG are different from the ones in NMG, the entropies, the mass and the angular momentum get modified. For a fast-rotating black hole the entropies of the outer and inner horizons could be calculated using (2.10) 15) and for a slow-rotating black hole they become…”

Section: Black Hole Solutionmentioning

confidence: 99%

“…This so-called warped AdS 3 /CFT 2 correspondence was first proposed in [12] by studying the holographic description of warped AdS 3 black holes in 3D TMG. The ASG analysis was later carried out in [13][14][15]. Further evidence comes from the computations of quasi-normal modes and real-time correlators in [16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Aspects of warped AdS3/CFT2 correspondence

Chen

Zhang

et al. 2013

J. High Energ. Phys.

View full text Add to dashboard Cite

In this paper we apply the thermodynamics method to investigate the holographic pictures for the BTZ black hole, the spacelike and the null warped black holes in three-dimensional topologically massive gravity (TMG) and new massive gravity (NMG). Even though there are higher derivative terms in these theories, the thermodynamics method is still effective. It gives consistent results with the ones obtained by using asymptotical symmetry group (ASG) analysis. In doing the ASG analysis we develop a brute-force realization of the Barnich-Brandt-Compere formalism with Mathematica code, which also allows us to calculate the masses and the angular momenta of the black holes. In particular, we propose the warped AdS 3 /CFT 2 correspondence in the new massive gravity, which states that quantum gravity in the warped spacetime could holographically dual to a two-dimensional CFT with c R = c L = .

show abstract

Asymptotic structure of topologically massive gravity in spacelike stretched AdS sector

Cited by 70 publications

References 31 publications

Quasinormal modes and hidden conformal symmetry of warpeddS3black hole

Quasinormal modes and hidden conformal symmetry of warpeddS3black hole

Warped AdS3 black holes in higher derivative gravity theories

Aspects of warped AdS3/CFT2 correspondence

Contact Info

Product

Resources

About