Holography for Cosmology

Abstract

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 QFT. The holographic description correctly reproduces standard inflationary predictions in the limit where a perturbative quantization of fluctuations is justified. In the opposite limit, 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.

5 pages; new figure displaying predicted spectral running.

References in corpus (8)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Real-time gauge/gravity duality
• Correlation Functions in Holographic RG Flows
• Precision holography for non-conformal branes
• Hidden supersymmetry of domain walls and cosmologies
• Pseudo-supersymmetry and a Tale of Alternate Realities
• Domain-wall/Cosmology correspondence in adS/dS supergravity
• Pseudo-Supersymmetry and the Domain-Wall/Cosmology Correspondence

Cited by in corpus (140)

• Implications of conformal invariance in momentum space
• Lorentzian Quantum Cosmology
• Einstein Gravity from Conformal Gravity
• De Sitter Musings
• The Cosmological Optical Theorem
• Holography for inflation using conformal perturbation theory
• Black Hole Microstate Cosmology
• Low-dimensional de Sitter quantum gravity
• Static Patch Solipsism: Conformal Symmetry of the de Sitter Worldline
• From dS to AdS and back
• The Wave Function of Vasiliev's Universe - A Few Slices Thereof
• The Real No-Boundary Wave Function in Lorentzian Quantum Cosmology
• Holographic No-Boundary Measure
• The Inflationary Wavefunction from Analyticity and Factorization
• From Planck data to Planck era: Observational tests of Holographic Cosmology
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Holographic predictions for cosmological 3-point functions
• Holographic Non-Gaussianity
• On the time evolution of cosmological correlators
• Comments on wormholes, ensembles, and cosmology
• Cauchy Slice Holography: A New AdS/CFT Dictionary
• Universality classes for models of inflation
• Soft de Sitter Effective Theory
• A Smooth Exit from Eternal Inflation?
• Cosmology at the end of the world
• Cosmological 3-point correlators from holography
• Evaluation of conformal integrals
• What is the No-Boundary Wave Function of the Universe?
• Cosmological Scattering Equations
• On the Symmetries of Cosmological Perturbations
• Holographic Signatures of Cosmological Singularities
• Higher Spin de Sitter Holography from Functional Determinants
• An étude of momentum space scalar amplitudes in AdS
• Quantum Probabilities for Inflation from Holography
• Cosmology from confinement?
• New perspectives on constant-roll inflation
• Towards the higher point holographic momentum space amplitudes II: Gravitons
• The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization
• Asymptotic freedom, asymptotic flatness and cosmology
• Holographic dark matter and dark energy with second order invariants
• Dynamical Constraints on RG Flows and Cosmology
• Attractors, Bifurcations and Curvature in Multi-field Inflation
• Cosmological Scattering Equations at Tree-level and One-loop
• Cosmological Shapes of Higher-Spin Gravity
• On the power spectrum of inflationary cosmologies dual to a deformed CFT
• Incompressible Fluids of the de Sitter Horizon and Beyond
• FRW solutions and holography from uplifted AdS/CFT
• Inflation and deformation of conformal field theory
• Constraints on holographic multi-field inflation and models based on the Hamilton-Jacobi formalism
• $\delta N$ formalism from superpotential and holography
• Multi-field inflation from holography
• Renormalisation of IR divergences and holography in de Sitter
• Universality for quintessence
• Tensors and Spinors in de Sitter Space
• Soft limits in holographic cosmology
• The Wave Function of Simple Universes, Analytically Continued From Negative to Positive Potentials
• Accelerating cosmology from a holographic wormhole
• Identifying Universality in Warm Inflation
• Three and Four Point Functions of Stress Energy Tensors in D=3 for the Analysis of Cosmological Non-Gaussianities
• Effective Field Theories and Cosmological Scattering Equations
• Constraining holographic inflation with WMAP
• Chern-Simons-Ghost Theories and de Sitter Space
• Constraining holographic cosmology using Planck data
• Enhanced Soft Limits in de Sitter Space
• Improvement of energy-momentum tensor and non-Gaussianities in holographic cosmology
• Lectures on Holographic Space Time
• Two Wave Functions and dS/CFT on S^1 x S^2
• Holography for the very early Universe and the classic puzzles of Hot Big Bang cosmology
• Strong-coupling dynamics and entanglement in de Sitter space
• Holographic non-Gaussianities in general single-field inflation
• Bottom-up holographic models for cosmology
• Universality in generalized models of inflation
• Momentum space CFT correlators of non-conserved spinning operators
• On Universality of Holographic Results for (2+1)-Dimensional CFTs on Curved Spacetimes
• Scale Anomaly as the Origin of Time
• Primordial fluctuations from complex AdS saddle points
• A Shape Dynamical Approach to Holographic Renormalization
• Wavefunctions in dS/CFT revisited: principal series and double-trace deformations
• Nonperturbative infrared finiteness in super-renormalisable scalar quantum field theory
• What lattice theorists can do for superstring/M-theory
• On the TransPlanckian Censorship Conjecture in Holographic Cosmology
• Squashed Holography with Scalar Condensates
• Accelerating cosmology from $\Lambda <0$ gravitational effective field theory
• Cosmic branes and asymptotic structure
• Holographic Fluctuations from Unitary de Sitter Invariant Field Theory
• An Hamilton-Jacobi formulation of anisotropic inflation
• Cosmology at the boundary of de Sitter using the dS/QFT correspondence
• Unitarity bounds and RG flows in time dependent quantum field theory
• Infrared physics of the 3D SU(2) adjoint Higgs model at the crossover transition
• Consistency relations and conservation of $\zeta$ in holographic inflation
• A renormalization group method for studying the early universe in the Lorentzian IIB matrix model
• Two-point function of the energy-momentum tensor and generalised conformal structure
• Emergent Dark Matter in Late Time Universe on Holographic Screen
• Stephani Cosmology: Entropically Viable But Observationally Challenged
• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• Holography for a Non-Inflationary Early Universe
• Solution of the cosmological constant problem within holographic cosmology
• General solutions to $\mathcal{N}$-field cosmology with exponential potentials
• Holographic theories at finite $\theta$-angle, CP-violation, glueball spectra and strong-coupling instabilities
• Holographic cosmology solutions of problems with pre-inflationary cosmology
• Holographic reconstruction of k-essence model with Tsallis and the most generalized Nojiri-Odintsov version of holographic dark energy
• Dark Energy from holographic theories with hyperscaling violation
• Late-time Structure of the Bunch-Davies FRW Wavefunction
• Microscopics of de Sitter Entropy from Precision Holography
• Lower bound on the cosmological constant from the classicality of the Early Universe
• Soft Limits of Gluon and Graviton Correlators in Anti-de Sitter Space
• Horizon causality from holographic scattering in asymptotically dS${}_3$
• Holographic (Eternal) Inflation
• Holographic Signatures of Resolved Cosmological Singularities II: Numerical Investigations
• Defect CFTs and holographic multiverse
• Instantons and the Hartle-Hawking-Maldacena Proposal for dS/CFT
• Renormalization of the energy-momentum tensor in three-dimensional scalar $SU(N)$ theories using the Wilson flow
• On 1-loop diagrams in AdS space and the random disorder problem
• Second order invariants and holography
• Ultraviolet Completion of the Big Bang in Quadratic Gravity
• BICEP2 and the Central Charge of Holographic Inflation
• Holographic cosmology from "dimensional reduction" of $\mathcal{N}=4$ SYM vs. $Ad{S}_5\times S^5$
• Lorentzian Condition in Holographic Cosmology
• Ising Cosmology
• Penrose limit of MNa solution and spin chains in three-dimensional field theories
• Brown-Teitelboim Instantons and the First Law of Thermodynamics of (Anti) de Sitter Space
• Effects of high-order operators in non-relativistic Lifshitz holography
• Constant-roll warm inflation and the $\beta$-function approach
• Conformal Scale Factor Inversion for Domain Walls and Holography
• A correspondence between strings in the Hagedorn phase and asymptotically de Sitter space
• Mapping AdS to dS spaces and back
• Interacting Dark Energy and Its Implications for Unified Dark Sector
• Disformal transformation in Newton-Cartan geometry
• The monopole problem in holographic cosmology
• Late time solutions for inhomogeneous Lambda-CDM cosmology, their characterization and observation
• Inhomogeneous post-inflationary Lambda-CDM cosmology as a moduli space expansion
• A (semi)-exact Hamiltonian for the curvature perturbation $\zeta$
• On holographic braneworld cosmology
• From ${\mathrm{AdS}}_5$ to ${\mathrm{AdS}}_3$: TsT deformations, Magnetic fields and Holographic RG Flows
• Vector Fields in Holographic Cosmology
• The holographic space-time model of inflation and its predictions for the CMB primordial spectra
• Modeling dark sector in Horndeski gravity at first-order formalism
• Holographic Inflation and the Low Entropy of the Early Universe
• Massive holographic QFTs in de Sitter
• Entanglement Entropy and Complexity of Multicomponent Universe from Holography