Holography for Cosmology
By Paul McFadden, Kostas Skenderis. 2009
262 citations recorded by the source corpus.
We propose a holographic description of four-dimensional single-scalar inflationary universes, and show how cosmological observables, such as the primordial power spectrum, are encoded in the correlation functions of a three-dimensional quantum field theory (QFT). The holographic description correctly reproduces standard inflationary predictions in the regime where a perturbative quantization of fluctuations is justified. In the opposite regime, wherein gravity is strongly coupled at early times, we propose a holographic description in terms of perturbative large N QFT. Initiating a holographic phenomenological approach, we show that models containing only two parameters, N and a dimensionful coupling constant, are capable of satisfying the current observational constraints.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/21540805ffd018b1fa4702275ae7a40e5ff8951b
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In Astronomy and Astrophysics
- E. Pajer
- D. Baumann
- Dionysios Anninos
- G. L. Pimentel
- J. Maldacena
- Kostas Skenderis
- Hayden Lee
- K. Jensen
In Nuclear and High Energy Physics
Citations in the corpus
- The Cosmological Bootstrap: Spinning correlators from symmetries and factorization (2020, background): “These kinematic requirements have important consequences for the correlations generated during inflation—in particular, the late-time wavefunction is strongly constrained by the de Sitter symmetry [41, 42, 55, 72–76].”
- Lorentzian quantum cosmology (2017, methodology): “More general holographic scenarios have also been proposed [18], based on analytically continuing Newton’s constant and other fundamental parameters in order to obtain a well-defined dual 3d theory.”
- Implications of conformal invariance in momentum space (2013, methodology): “Our original motivation for analysing this question was the requirement for these results in our work on holographic cosmology [14, 15, 16, 17, 18], and similar applications of the conformal/de Sitter symmetry in 1 For example, the 2-point function 〈O(x)O(0)〉 ∼ 1/|x| of a scalar operator O of dimens”
- Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies (2015, background): “The initial motivation for this work was the need for momentum-space CFT correlators in the context of holographic cosmology [8–12]; similar applications of conformal/de Sitter symmetry in cosmology have been discussed in [13–21].”
- Low-dimensional de Sitter quantum gravity (2019, methodology): “We will study the gauge theory formulation, which will allow us to understand the relationship See also [7–19] for further comments related to this interpretation of the dS/CFT correspondence, as well as related work.”
- On graviton non-gaussianities during inflation (2011, background): “The connection between bulk symmetries and the conformal symmetry on the boundary was discussed in the inflationary context in [18–22].”
- DE SITTER MUSINGS (2012, background): “Such considerations naturally lead to the question of how bulk unitarity is encoded in the dual CFT? Other consderations of holographic cosmology include [153, 154].”
- The holographic universe (2010, background): “e holographic principle apply more generally, however, and suggest that one should be able to establish a holographic dictionary that applies to our own universe. The purpose of the work presented in [5], and further discussed here, is to propose a concrete holographic framework that applies to our ”
- Static patch solipsism: conformal symmetry of the de Sitter worldline (2011, methodology): “The I+ metaobserver has been discussed extensively in holographic approaches to de Sitter space, including the dS/CFT correspondence [3, 4, 5, 6, 7, 8].”
- The Cosmological Optical Theorem (2020, background): “Many steps forward have been made over the years on this front [14, 15, 16, 17, 18, 19, 6, 20] and much interest and progress has appeared recently in the literature [9, 21, 22, 23, 24, 25].”
- The cosmological bootstrap: inflationary correlators from symmetries and singularities (2018, unknown): “A holographic description of cosmology [17–35] is even more confusing, since the boundary geometry is a Euclidean manifold, and there is no notion of boundary time.”