Left–right asymmetric holographic RG flow with gravitational Chern–Simons term

Hotta, Kyosuke; Hyakutake, Yoshifumi; Kubota, Takeshi; Nishinaka, Takahiro; Tanida, Hiroaki

doi:10.1016/j.physletb.2009.08.060

Cited by 10 publications

(11 citation statements)

References 64 publications

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“…In our opinion, this approach carries some ambiguities since there is no robust definition of such c-functions (or at least the precise interpretation of it). Our derivations and conclusions do not rely on these definitions, nevertheless we are in perfect agreement with the results reported in [20].…”

Section: Jhep11(2015)145supporting

confidence: 91%

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Fake gaps in AdS3/CFT2

Belin

Castro

Hung

2015

J. High Energ. Phys.

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We discuss properties of interpolating geometries in three dimensional gravity in the presence of a chiral anomaly. This anomaly, which introduces an unbalance between left and right central charges, is protected under RG flows. For this simple reason it is impossible to gap a system with such an anomaly. Our goal is to discuss how holography captures this basic and robust feature. We demonstrate the absence of a mass gap by analysing the linearized spectrum and holographic entanglement entropy of these backgrounds in the context of AdS 3 /CFT 2 .

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Section: Jhep11(2015)145supporting

confidence: 91%

“…This was the approach used in [20], and they showed that their was no radial dependence onĉ. In our opinion, this approach carries some ambiguities since there is no robust definition of such c-functions (or at least the precise interpretation of it).…”

Section: Jhep11(2015)145mentioning

confidence: 99%

Fake gaps in AdS3/CFT2

Belin

Castro

Hung

2015

J. High Energ. Phys.

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“…2 In the context of topologically massive gravity of [16], holographic RG flows were studied in [17].…”

Section: Dedicated To the Loving Memory Of My Fathermentioning

confidence: 99%

On the new massive gravity and AdS/CFT

Sinha

2010

J. High Energ. Phys.

138

192

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Demanding the existence of a simple holographic $c$-theorem, it is shown that a general (parity preserving) theory of gravity in 2+1 dimensions involving upto four derivative curvature invariants reduces to the new massive gravity theory. We consider extending the theory including upto six derivative curvature invariants. Black hole solutions are presented and consistency with 1+1 CFTs is checked. We present evidence that bulk unitarity is still in conflict with a positive CFT central charge for generic choice of parameters. However, for a special choice of parameters appearing in the four and six derivative terms reduces the linearized equations to be two derivative, thereby ameliorating the unitarity problem.Comment: 16 pages, 2 figures. v4: typo correcte

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“…for the recent discussions on three dimensional gravity with the gravitational Chern-Simons term 3. The equivalent expressions of c ± or the entropy in CTMG were obtained in various ways[21]-[27],[43],[37].…”

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confidence: 99%

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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Left–right asymmetric holographic RG flow with gravitational Chern–Simons term

Cited by 10 publications

References 64 publications

Fake gaps in AdS3/CFT2

Fake gaps in AdS3/CFT2

On the new massive gravity and AdS/CFT

Galilean conformal algebra in two dimensions and cosmological topologically massive gravity

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