CMB from CFT

Mata, Ishan; Raju, Suvrat; Trivedi, Sandip P.

doi:10.1007/jhep07(2013)015

Cited by 142 publications

(201 citation statements)

References 41 publications

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“…(5.3) that the ET contribution is determined by the OOT ij correlator. As discussed in [27] this correlator is completely fixed by conformal invariance, so we see conformal symmetry completely fixes the ET contribution to the scalar 4 point correlator.…”

Section: Jhep07(2014)011mentioning

confidence: 57%

“…was obtained in [13], for the slow-roll model of inflation being considered here, and also obtained from more general considerations in [27], see also [21]. These coefficient functions are also summarized in appendix A.…”

Section: Jhep07(2014)011mentioning

confidence: 66%

“…(See also [14].) Some other references which contain a discussion of conformal invariance and its implications for correlators in cosmology are [15][16][17][18][19][20][21][22][23][24][25][26][27][28]. Some discussion of consistency conditions which arise in the squeezed limit can be found in [14,[29][30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: Jhep07(2014)011mentioning

confidence: 99%

“…(2.15), eq. (2.16), this time parameterization must be accompanied by a spatial parameterization 27) where to leading order in the perturbations…”

Section: Jhep07(2014)011mentioning

confidence: 99%

“…in [21,27]. In order to establish conformal invariance for the wave function it is then enough to prove that the coefficient function…”

Section: Jhep07(2014)011mentioning

confidence: 99%

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Conformal invariance and the four point scalar correlator in slow-roll inflation

Ghosh

Kundu

Raju

et al. 2014

J. High Energ. Phys.

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120

158

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We calculate the four point correlation function for scalar perturbations in the canonical model of slow-roll inflation. We work in the leading slow-roll approximation where the calculation can be done in de Sitter space. Our calculation uses techniques drawn from the AdS/CFT correspondence to find the wave function at late times and then calculate the four point function from it. The answer we get agrees with an earlier result in the literature, obtained using different methods. Our analysis reveals a subtlety with regard to the Ward identities for conformal invariance, which arises in de Sitter space and has no analogue in AdS space. This subtlety arises because in de Sitter space the metric at late times is a genuine degree of freedom, and hence to calculate correlation functions from the wave function of the Universe at late times, one must fix gauge completely. The resulting correlators are then invariant under a conformal transformation accompanied by a compensating coordinate transformation which restores the gauge.

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Section: Jhep07(2014)011mentioning

confidence: 57%

Section: Jhep07(2014)011mentioning

confidence: 66%

Section: Jhep07(2014)011mentioning

confidence: 99%

“…(2.15), eq. (2.16), this time parameterization must be accompanied by a spatial parameterization 27) where to leading order in the perturbations…”

Section: Jhep07(2014)011mentioning

confidence: 99%

“…in [21,27]. In order to establish conformal invariance for the wave function it is then enough to prove that the coefficient function…”

Section: Jhep07(2014)011mentioning

confidence: 99%

See 3 more Smart Citations

Conformal invariance and the four point scalar correlator in slow-roll inflation

Ghosh

Kundu

Raju

et al. 2014

J. High Energ. Phys.

Self Cite

120

158

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Inflation and conformal invariance: the perspective from radial quantization

Kehagias

Riotto

2017

Fortschritte der Physik

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According to the dS/CFT correspondence, correlators of fields generated during a primordial de Sitter phase are constrained by three-dimensional conformal invariance. Using the properties of radially quantized conformal field theories and the operator-state correspondence, we glean information on some points. The Higuchi bound on the masses of spin-s states in de Sitter is a direct consequence of reflection positivity in radially quantized CFT 3 and the fact that scaling dimensions of operators are energies of states. The partial massless states appearing in de Sitter correspond from the boundary CFT 3 perspective to boundary states with highest weight for the conformal group. We discuss inflationary consistency relations and the role of asymptotic symmetries which transform asymptotic vacua to new physically inequivalent vacua by generating long perturbation modes. We show that on the CFT 3 side, asymptotic symmetries have a nice quantum mechanics interpretation. For instance, acting with the asymptotic dilation symmetry corresponds to evolving states forward (or backward) in "time" and the charge generating the asymptotic symmetry transformation is the Hamiltonian itself. Finally, we investigate the symmetries of anisotropic inflation and show that correlators of four-dimensional free scalar fields can be reproduced in the dual picture by considering an isotropic three-dimensional boundary enjoying dilation symmetry, but with a nonvanishing vacuum expectation value of the boundary stress-energy momentum tensor.

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On the dual flow of slow-roll inflation

Kol

2014

J. High Energ. Phys.

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We study the dual 3d Euclidean RG flow of single-field slow-roll Inflation using the postulates of the dS/CFT correspondence. For that purpose we solve for the inflationary fluctuation at all times using a matching procedure between two approximate solutions which are separately valid at different regions of the space of parameters but together cover all of it. The two modes of the full solution mix such that each of the modes at late times is a superposition of the modes in the quasi-de Sitter region. We find that the dual theory admits two phases of explicit and spontaneous breaking of conformal symmetry.We also find that the mixing effect between the two modes in the bulk implies that slowroll inflation does not guarantee, but rather generically generates, a nearly scale invariant power spectrum, except in fine-tuned situations. We suggest that the mixing effect can have a unique signature on other cosmological observables such as the bispectrum.

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CMB from CFT

Cited by 142 publications

References 41 publications

Conformal invariance and the four point scalar correlator in slow-roll inflation

Conformal invariance and the four point scalar correlator in slow-roll inflation

Inflation and conformal invariance: the perspective from radial quantization

On the dual flow of slow-roll inflation

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