AdS3/LCFT2 — correlators in cosmological topologically massive gravity

Abstract:We study linearized equations of motion of the newly proposed three dimensional gravity, known as minimal massive gravity, using its metric formulation. By making use of a redefinition of the parameters of the model, we observe that the resulting linearized equations are exactly the same as that of TMG . In particular the model admits logarithmic modes at critical points. We also study several vacuum solutions of the model, specially at a certain limit where the contribution of Chern-Simons term vanishes.

Section: Jhep12(2014)033supporting

confidence: 83%

“…In the case of the TMG model it was conjectured [9] that when the logarithmic modes appear, the dual field theory would be a LCFT with one zero central charge [19,20]. For the NMG model [21] the situation is the same though both the central charges are zero (see for example [22,23]).…”

Section: Logarithmic Cft and New Anomalymentioning

confidence: 99%

On 3D minimal massive gravity

Alishahiha

Qaemmaqami

Naseh

et al. 2014

“…We expect that for the one, two and three point functions, the simple features we have found in this paper will continue to hold. Finally, it should be possible to extend our methods to study correlation functions which involve the massive graviton modes and T µν [85][86][87].…”

Section: Discussionmentioning

confidence: 99%

Holographic stress tensor at finite coupling

Sen

Sinha

2014

We calculate one, two and three point functions of the holographic stress tensor for any bulk Lagrangian of the form L(g ab , R abcd , ∇ e R abcd ). Using the first law of entanglement, a simple method has recently been proposed to compute the holographic stress tensor arising from a higher derivative gravity dual. The stress tensor is proportional to a dimension dependent factor which depends on the higher derivative couplings. In this paper, we identify this proportionality constant with a B-type trace anomaly in even dimensions for any bulk Lagrangian of the above form. This in turn relates to C T , the coefficient appearing in the two point function of stress tensors. We use a background field method to compute the two and three point function of stress tensors for any bulk Lagrangian of the above form in arbitrary dimensions. As an application we consider general situations where η/s for holographic plasmas is less than the KSS bound.

“…However, even at the critical point, there is actually a logarithmic mode [27][28][29], if one does not impose the Brown-Henneaux boundary conditions. Moreover it has been found that there exist another set of consistent boundary conditions to include the logarithmic mode, and the resulting quantum gravity is proposed to be dual to a logarithmic CFT (LCFT) [30][31][32][33][34]. The lesson is that the quantum gravity is defined with respect to the asymptotic boundary conditions.…”

Section: Jhep03(2014)137mentioning

confidence: 99%

Holographic Rényi entropy in AdS3/LCFT2 correspondence

Chen

Song

Zhang

2014

The recent study in AdS 3 /CFT 2 correspondence shows that the tree level contribution and 1-loop correction of holographic Rényi entanglement entropy (HRE) exactly match the direct CFT computation in the large central charge limit. This allows the Rényi entanglement entropy to be a new window to study the AdS/CFT correspondence. In this paper we generalize the study of Rényi entanglement entropy in pure AdS 3 gravity to the massive gravity theories at the critical points. For the cosmological topological massive gravity (CTMG), the dual conformal field theory (CFT) could be a chiral conformal field theory or a logarithmic conformal field theory (LCFT), depending on the asymptotic boundary conditions imposed. In both cases, by studying the short interval expansion of the Rényi entanglement entropy of two disjoint intervals with small cross ratio x, we find that the classical and 1-loop HRE are in exact match with the CFT results, up to order x 6 . To this order, the difference between the massless graviton and logarithmic mode can be seen clearly. Moreover, for the cosmological new massive gravity (CNMG) at critical point, which could be dual to a logarithmic CFT as well, we find the similar agreement in the CNMG/LCFT correspondence. Furthermore we read the 2-loop correction of graviton and logarithmic mode to HRE from CFT computation. It has distinct feature from the one in pure AdS 3 gravity.