Holographic inflation and the conservation of ζ

Garriga, Jaume; Urakawa, Yuko

doi:10.1007/jhep06(2014)086

Cited by 21 publications

(46 citation statements)

References 81 publications

(133 reference statements)

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“…The author is also interested in the possibility of its de Sitter space version, from the viewpoint of applications to primordial correlation functions in inflationary cosmology; in particular, decompositions of primordial correlators along the line of[15], holographic computations of non-Gaussianities using three-dimensional conformal perturbation theory like[16][17][18][19][20].…”

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confidence: 99%

Conformal correlators and blocks with spinors in general dimensions

Isono

2017

Phys. Rev. D

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We compute conformal correlation functions with spinor, tensor, and spinor-tensor primary fields in general dimensions with Euclidean and Lorentzian metrics. The spinors are taken to be Dirac spinors, which exist for any dimensions. For this, the embedding space formalism is employed and the polarisation spinors are introduced to simplify the computations. Three-point functions are rewritten in terms of differential operators acting on scalar-scalar-tensor correlation functions. This enables us to determine conformal blocks for four-point functions with scalar and spinor fields by acting the differential operators on scalar conformal blocks, which will be useful in finding their geodesic Witten diagrams.

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confidence: 99%

Conformal correlators and blocks with spinors in general dimensions

Isono

2017

Phys. Rev. D

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“…However, the authors in [34] has shown that this is not the case in the dual CFT description. The requirement that higher correlators of ζ should be conserved restricts the possibilities for the RG flow.…”

Section: Discussionmentioning

confidence: 98%

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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“…Even if the gauge fields have a non-vanishing energy density, at the level of classical background this would be indistinguishable from the single-field model 11 . In order to extract information about the gauge field contribution, it is necessary to investigate its linear perturbation and its contribution to the scalar and tensor power spectra (higher order correlators, like the bispectrum, would give a further way to distinguish them).…”

Section: Isotropic Power Spectramentioning

confidence: 97%

“…For other application of holographic techniques to cosmology see for example[8][9][10][11][12][13][14][15][16][17][18][19].…”

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confidence: 99%

A Hamilton-Jacobi formulation of anisotropic inflation

Cicciarella

Mabillard

Pieroni

et al. 2019

J. Cosmol. Astropart. Phys.

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Classifying inflationary scenarios according to their scaling properties is a powerful way to connect theory with observations. A useful tool to make such a classification is the β-function formalism. By describing inflation in terms of renormalization group equations, within this framework, it is possible to define universality classes, which can be considered as sets of theories that share a common scale invariant limit. In this paper we apply the formalism to define such classes of universality for models of inflation where the inflaton is coupled to gauge fields. We show that the formalism may consistently be extended to capture the peculiar features of these models such as statistical anisotropy. We also obtain some consistency conditions which serve as useful guidelines for model building.

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Holographic inflation and the conservation of ζ

Cited by 21 publications

References 81 publications

Conformal correlators and blocks with spinors in general dimensions

Conformal correlators and blocks with spinors in general dimensions

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

A Hamilton-Jacobi formulation of anisotropic inflation

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