Unitary truncations and critical gravity: a toy model

Bergshoeff, Eric; Haan, Sjoerd de; Merbis, Wout; Porrati, Massimo; Rosseel, Jan

doi:10.1007/jhep04(2012)134

Cited by 27 publications

(69 citation statements)

References 42 publications

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“…Holographic duals to logCFTs were first considered for scalar operators in [66] and [67]; a thorough discussion is given in [68]. For the interesting spin-2 case there…”

Section: Holographic Logcftmentioning

confidence: 99%

The ABC (in any D) of logarithmic CFT

Hogervorst

Paulos

Vichi

2017

J. High Energ. Phys.

103

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Logarithmic conformal field theories have a vast range of applications, from critical percolation to systems with quenched disorder. In this paper we thoroughly examine the structure of these theories based on their symmetry properties. Our analysis is modelindependent and holds for any spacetime dimension. Our results include a determination of the general form of correlation functions and conformal block decompositions, clearing the path for future bootstrap applications. Several examples are discussed in detail, including logarithmic generalized free fields, holographic models, self-avoiding random walks and critical percolation.

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“…Holographic duals to logCFTs were first considered for scalar operators in [66] and [67]; a thorough discussion is given in [68]. For the interesting spin-2 case there…”

Section: Holographic Logcftmentioning

confidence: 99%

The ABC (in any D) of logarithmic CFT

Hogervorst

Paulos

Vichi

2017

J. High Energ. Phys.

103

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“…Actually, K 0 can be derived from the Green's function (A.1). Considering a different transformation for hypergeometric function [37] 2 F 1 (△ + , △ − , 2; 1 − ξ 4 ) = 4 ξ which correspond to the cross coupling given by [13,24] which recover (4.15) and (4.23), respectively. We point out that ∂ ∂ν J −ν in (C.9) and ∂ 2 ∂ν 2 J −ν in (C.10) contribute to making (C.12) because they behave as z −ν ln[z] and z −ν ln 2 [z] in the superhorizon limit of z → 0.…”

Section: B Lcft Correlators From Differentiate Dictionarymentioning

confidence: 99%

“…In order to resolve the non-unitarity problem confronted in the singleton, one has to truncate log-modes out by imposing the appropriate AdS boundary conditions [13]. A rank of the LCFT refers to the dimensionality of the Jordan cell.…”

Section: Introductionmentioning

confidence: 99%

Cosmological three-coupled scalar theory for the dS/LCFT correspondence

Myung

Moon

2015

J. Cosmol. Astropart. Phys.

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Abstract. We investigate cosmological perturbations generated during de Sitter inflation in the three-coupled scalar theory. This theory is composed of three coupled scalars (φ p , p = 1, 2, 3) to give a sixth-order derivative scalar theory for φ 3 , in addition to tensor. Recovering the power spectra between scalars from the LCFT correlators in momentum space indicates that the de Sitter/logarithmic conformal field theory (dS/LCFT) correspondence works in the superhorizon limit. We use LCFT correlators derived from the dS/LCFT differentiate dictionary to compare cosmological correlators (power spectra) and find also LCFT correlators by making use of extrapolate dictionary. This is because the former approach is more conventional than the latter. A bulk version dual to the truncation process to find a unitary CFT in the LCFT corresponds to selecting a physical field φ 2 with positive norm propagating on the dS spacetime.

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“…The LCFT dual to a tricritical gravity has rank-3 Jordan cell and an operator has two logarithmic partners. In particular, a truncation allows an odd rank LCFT to be a unitary conformal field theory (CFT) [15].…”

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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Unitary truncations and critical gravity: a toy model

Cited by 27 publications

References 42 publications

The ABC (in any D) of logarithmic CFT

The ABC (in any D) of logarithmic CFT

Cosmological three-coupled scalar theory for the dS/LCFT correspondence

Tricritical gravity waves in the four-dimensional generalized massive gravity

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