Spinors in supersymmetric dS/CFT

Hertog, Thomas; Tartaglino‐Mazzucchelli, Gabriele; Venken, Gerben

doi:10.1007/jhep10(2019)117

Cited by 6 publications

(4 citation statements)

References 75 publications

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“…The detailed implementation of the dS=CFT correspondence began to take shape with a proposal by McFadden and Skenderis-following from [11]-that the CFT duals to domain walls in Euclidean AdS space could be analytically continued into what would be the CFT duals to Lorentzian inflationary cosmologies [12][13][14][15][16][17]. The first explicit realization of a dS=CFT duality from its AdS counterpart was presented by Hertog and Hartle in [18] (and further developed by Hertog and others in, e.g., [19][20][21][22][23][24][25]), where the relation between AdS=CFT holography and the wave function of the inflationary Universe was made precise. The two approaches differ in that McFadden and Skenderis consider quantum fluctuations about a real classical geometry, whereas Hertog et al employ complex semiclassical saddle point solutions of the gravitational and the matter path integral.…”

Section: Introductionmentioning

confidence: 99%

Correspondence between strings in the Hagedorn phase and asymptotically de Sitter space

Brustein

Medved

2020

Phys. Rev. D

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A correspondence between closed strings in their high-temperature Hagedorn phase and asymptotically de Sitter (dS) space is established. We identify a thermal, conformal field theory (CFT) whose partition function is, on the one hand, equal to the partition function of closed, interacting, fundamental strings in their Hagedorn phase yet is, on the other hand, also equal to the Hartle-Hawking (HH) wave function of an asymptotically dS universe. The Lagrangian of the CFT is a functional of a single scalar field, the condensate of a thermal scalar, which is proportional to the entropy density of the strings. The correspondence has some aspects in common with the anti-de Sitter/CFT correspondence, as well as with some of its proposed analytic continuations to a dS=CFT correspondence, but it also has some important conceptual and technical differences. The equilibrium state of the CFT is one of maximal pressure and entropy, and it is at a temperature that is above but parametrically close to the Hagedorn temperature. The CFT is valid beyond the regime of semiclassical gravity and thus defines the initial quantum state of the dS universe in a way that replaces and supersedes the HH wave function. Two-point correlation functions of the CFT scalar field are used to calculate the spectra of the corresponding metric perturbations in the asymptotically dS universe and, hence, cosmological observables in the postinflationary epoch. Similarly, higher-point correlation functions in the CFT should lead to more complicated cosmological observables.

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Section: Introductionmentioning

confidence: 99%

Correspondence between strings in the Hagedorn phase and asymptotically de Sitter space

Brustein

Medved

2020

Phys. Rev. D

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“…The analysis of perturbations can be generalised to situations in which the background itself is not isotropic, see for example [71]; in a sense one is then dealing with small perturbations superimposed on larger perturbations. Moreover, fermions can be included [116] (see also the briefer description in [117]), and it is again found that they start out being zero at the South Pole. This is a very general feature of the no-boundary proposal, namely that it implies that quantum fields start out in their vacua.…”

Section: Perturbationsmentioning

confidence: 92%

“…This shows one aspect of the predictivity of the no-boundary proposal, namely that it restricts the possible solutions to a theory. In other words, not all (b, χ) combinations may arise, only those that can be related as in (117).…”

Section: Simple Inflationary Examplesmentioning

confidence: 99%

“…Let us mention one by-product: if there exist several regions in the scalar potential that could all lead to long inflationary phases and viable universes, then the lowest such region would seem to come out as preferred, due to the basic preference for low potential values [117]. This would imply that plateau models of inflation would be preferred over power-law potentials, and in fact one would then also expect the tensor-to-scalar ratio to be small.…”

Section: Probabilitiesmentioning

confidence: 99%

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Review of the No-Boundary Wave Function

Lehners¹

2023

Preprint

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When the universe is treated as a quantum system, it is described by a wave function. This wave function is a function not only of the matter fields, but also of spacetime. The no-boundary proposal is the idea that the wave function should be calculated by summing over geometries that have no boundary to the past, and over regular matter configurations on these geometries. Accordingly, the universe is finite, self-contained and the big bang singularity is avoided. Moreover, given a dynamical theory, the no-boundary proposal provides probabilities for various solutions of the theory. In this sense it provides a quantum theory of initial conditions.This review starts with a general overview of the framework of quantum cosmology, describing both the canonical and path integral approaches, and their interpretations. After recalling several heuristic motivations for the noboundary proposal, its consequences are illustrated with simple examples, mainly in the context of cosmic inflation. We review how to include perturbations, assess the classicality of spacetime and how probabilities may be derived. A special emphasis is given to explicit implementations in minisuperspace, to observational consequences, and to the relationship of the no-boundary wave function with string theory. At each stage, the required analytic and numerical techniques are explained in detail, including the Picard-Lefschetz approach to oscillating integrals.

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Wavefunctions in dS/CFT revisited: principal series and double-trace deformations

Isono

Liu

Noumi

2021

J. High Energ. Phys.

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We study wavefunctions of heavy scalars on de Sitter spacetime and their implications to dS/CFT correspondence. In contrast to light fields in the complementary series, heavy fields in the principal series oscillate outside the cosmological horizon. As a consequence, the quadratic term in the wavefunction does not follow a simple scaling and so it is hard to identify it with a conformal two-point function. In this paper, we demonstrate that it should be interpreted as a two-point function on a cyclic RG flow which is obtained by double-trace deformations of the dual CFT. This is analogous to the situation in nonrelativistic AdS/CFT with a bulk scalar whose mass squared is below the Breitenlohner-Freedman (BF) bound. We also provide a new dS/CFT dictionary relating de Sitter two-point functions and conformal two-point functions in the would-be dual CFT.

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Spinors in supersymmetric dS/CFT

Cited by 6 publications

References 75 publications

Correspondence between strings in the Hagedorn phase and asymptotically de Sitter space

Correspondence between strings in the Hagedorn phase and asymptotically de Sitter space

Review of the No-Boundary Wave Function

Wavefunctions in dS/CFT revisited: principal series and double-trace deformations

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