Polycritical Gravities

Nutma, Teake

doi:10.1103/physrevd.85.124040

Cited by 18 publications

(28 citation statements)

References 38 publications

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“…The stability holds here when both σ and σ 1 parameters are positive or negative. As we mentioned in introduction, there will be a unitary subspace if and only if the ghost-like logarithmic modes at the critical points are truncated by imposing certain boundary conditions [6][7][8][9][10]. But it should be noted that the unitary truncation method is valid only in free theories at the linear level [11].…”

Section: Massless and Massive Graviton Modesmentioning

confidence: 99%

“…The value of couplings are fixed by equations of motion for Lifshitz black hole +102462z 5 +44600z 6 −6720z 7 )+d 5 (2505650−6248772z +411834z 2 +756888z 3 +398394z 4 −70176z 5 −321534z 6 +68196z 7 −896z 8 )+d 4 (−2971401+5919268z +764380z 2 −2348514z 3 +196217z 4 −734178z 5 +1145572z 6 −236240z 7 −21600z 8 +6432z 9 ) + d 3 (2264148 − 3324172 z −2560626 z 2 + 4208820 z 3 − 2310448 z 4 + 2819176 z 5 − 2268746z 6 +267960z 7 + 205232z 8 −57184z 9 +992z 10 )+d 2 (−1057077+770046z+3165710z 2 −5024144z 3 +4741735z 4 −4632974z 5 +2404368z 6 +278752z 7 −609712z 8 + 151328z 9 + 2560z 10 − 512z 11 ) − 2d(−133650 − 79020z +999513z 2 −1814186z 3 +2177468z 4 −1806584z 5 +499333z 6 +468702z 7 −375688z 8 +58112 z 9 +20944 z 10 − 5088z 11 + 512z 12 ) + 4( −6561 − 23490 z + 134703 z 2 − 290208 z 3 + 381553z 4 −254922z 5 −27091z 6 +160612z 7 −82092z 8 −4216z 9 +15520z 10 − 4320z 11 + 512z 12 ) +l 4 (z −1) 48d 10 +6d 9 (−213+257z)+d 8…”

Section: B Lifshitz Couplingsunclassified

“…This theory may include a unitary subspace through the truncation of the logarithmic modes by imposing proper boundary conditions at the linear level. The unitarity problem of these theories has been discussed in various works [6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

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Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes

Ghodsi

Najafi

2017

Eur. Phys. J. C

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A special class of higher curvature theories of gravity, Ricci cubic gravity (RCG), in general d dimensional space-time has been investigated in this paper. We have used two different approaches, the linearized equations of motion and the auxiliary field formalism to study the massive and massless graviton propagating modes of the AdS background. Using the auxiliary field formalism, we have found the renormalized boundary stress tensor to compute the mass of the Schwarzschild-AdS and Lifshitz black holes in RCG theory.

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Section: Massless and Massive Graviton Modesmentioning

confidence: 99%

Section: B Lifshitz Couplingsunclassified

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Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes

Ghodsi

Najafi

2017

Eur. Phys. J. C

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“…A polycritical gravity was, recently, introduced to provide multiple critical points [14] which might be described by a higher rank LCFT. A rank of the LCFT refers to the dimensionality of the Jordan cell.…”

Section: Introductionmentioning

confidence: 99%

Tricritical gravity waves in the four-dimensional generalized massive gravity

Moon

Myung

2013

Eur. Phys. J. C

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We construct a generalized massive gravity by combining quadratic curvature gravity with the Chern-Simons term in four dimensions. This may be a candidate for the parity-odd tricritical gravity theory. Considering the AdS 4 vacuum solution, we derive the linearized Einstein equation, which is not similar to that of the three dimensional (3D) generalized massive gravity. When a perturbed metric tensor is chosen to be the Kerr-Schild form, the linearized equation reduces to a single massive scalar equation. At the tricritical points where two masses are equal to −1 and 2, we obtain a log-square wave solution to the massive scalar equation. This is compared to the 3D tricritical generalized massive gravity whose dual is a rank-3 logarithmic conformal field theory.

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“…In order to resolve this issue, a polycritical gravity with 2n(n > 2)-derivative was introduced to provide multiple critical points [8] whose CFT dual seems to be a rank-n LCFT. A consistent unitary truncation of polycritical gravity was performed at the linearized level for odd n, but not for even n [9].…”

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confidence: 99%

Rank-nlogarithmic conformal field theory in the BTZ black hole

Moon

Myung

2012

Phys. Rev. D

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We construct the rank-n finite temperature logarithmic conformal field theory (LCFT) starting from the n-coupled scalar field theory in the BTZ black hole background. Its zero temperature limit reduces to a rank-n LCFT in the AdS3 background whose gravity dual is a polycritical gravity. We compute all two-point functions of a rank-n finite temperature LCFT. Using the retarded Green's functions on the boundary, we obtain quasinormal modes of scalar An which satisfies the 2n-th order linearized equation. Furthermore, the absorption cross section of An indicates a feature of ln n−1 [ωℓ]-correction to the Klein-Gordon mode.PACS numbers: 04.60. Kz, 04.50.Kd, Critical gravity based on higher-curvature terms in the AdS d+1 -spacetimes [1-4] has regarded as a toy model for quantum gravity. At the critical point of avoiding the ghosts, a degeneracy takes place and massive gravitons coincide with massless gravitons. All massive gravitons are replaced by an equal amount of logarithmic modes at the critical point, leading to the critical gravity (loggravity). According to the dictionary of AdS-LCFT correspondence, one finds that a rank-2 logarithmic conformal field theory (LCFT) is dual to a critical gravity [5][6][7].However, one has to face with the non-unitarity issue of the log-gravity theory because it contains higherderivative terms. In order to resolve this issue, a polycritical gravity with 2n(n > 2)-derivative was introduced to provide multiple critical points [8] whose CFT dual seems to be a rank-n LCFT. A consistent unitary truncation of polycritical gravity was performed at the linearized level for odd n, but not for even n [9].On the other hand, a n-coupled scalar field model in the AdS d+1 -spacetimes has been proposed as a toy model for a gravitational dual to a rank-n LCFT [10]. Introducing n − 1 auxiliary scalar fields, this model could be rewritten as a two-derivative theory. The critical point is obtained when all masse of the n-scalar fields degenerate. The n − 1 higher-order logarithmic modes appear as logarithmic partners of the Klein-Gordon scalar A 1 . This model is compared to the 2n-derivative Lee-Wick model where the odd n and the even n cases feature qualitative difference [11].In this Report, we will investigate a n-coupled scalar field model on the BTZ black hole background [12]. Our purpose is twofold. One is to recognize the difference in the AdS-LCFT correspondence between a n-coupled scalar field model on the AdS 3 -a rank-n (zero temperature) LCFT and a n-coupled scalar field model on the BTZ black hole-a rank-n finite temperature LCFT. The other is to compute the quasinormal frequencies of a field A n satisfying (∇ 2 B −m 2 ) n A n = 0 and the absorption cross * Electronic address: tymoon@sogang.ac.kr † Electronic address: ysmyung@inje.ac.kr section from scattering A n off the BTZ black hole by using the retarded Green's function of rank-n finite temperature LCFT. Actually, this computation is a formidable task when using a single scalar equationInstead, employing the n-coupled scalar ...

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Polycritical Gravities

Cited by 18 publications

References 38 publications

Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes

Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes

Tricritical gravity waves in the four-dimensional generalized massive gravity

Rank-nlogarithmic conformal field theory in the BTZ black hole

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