Holographic cosmology solutions of problems with pre-inflationary cosmology

Abstract

In this paper we describe in detail how to solve the problems of pre-inflationary cosmology within the holographic cosmology model of McFadden and Skenderis \cite{McFadden:2009fg}. The solutions of the smoothness and horizon problems, the flatness problem, the entropy and perturbation problems and the baryon asymmetry problem are shown, and the mechanisms for them complement the inflationary solutions. Most of the paper is devoted to the solution of the monopole relic problem, through a detailed calculation of 2-loop correlators of currents in a toy model which we perform in $d$ dimensions, in order to extract its leading dependece on $g_{\mathrm{eff}}^2=g_{YM}^{2}N/q$ and find a dilution effect. Taken together with the fact that holographic cosmology gives as good a fit to CMBR as the standard paradigm of $\Lambda$ CDM with inflation, it means holographic cosmology extends the inflationary paradigm into new corners, explorable only through a dual perturbative field theory in 3 dimensions.

arXiv comment63 pages (30 pages+Appendices), 3 figures; references added; typos corrected, a few words and one equation added

References in corpus (56)

• The World as a Hologram
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Wilson loops in large N field theories
• Lecture Notes on Holographic Renormalization
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• The dS/CFT Correspondence
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• On graviton non-Gaussianities during inflation
• Quantum Gravity In De Sitter Space
• De Sitter Space and the Swampland
• Quantum critical transport, duality, and M-theory
• Inflation and the dS/CFT Correspondence
• Conformal Anomaly Of Submanifold Observables In AdS/CFT Correspondence
• Asymptotically Anti-de Sitter spacetimes and their stress energy tensor
• Cosmological Collider Physics
• Trans-Planckian Censorship and Inflationary Cosmology
• Holography for Cosmology
• Correlation Functions in Holographic RG Flows
• Precision holography for non-conformal branes
• Trans-Planckian Issues for Inflationary Cosmology
• CMB from CFT
• Hidden supersymmetry of domain walls and cosmologies
• Holography for inflation using conformal perturbation theory
• Conformal Invariance and the Four Point Scalar Correlator in Slow-Roll Inflation
• Constraints from Conformal Symmetry on the Three Point Scalar Correlator in Inflation
• Spontaneous Inflation and the Origin of the Arrow of Time
• Ward Identities for Scale and Special Conformal Transformations in Inflation
• From Planck data to Planck era: Observational tests of Holographic Cosmology
• Holographic predictions for cosmological 3-point functions
• Space-Time Uncertainty Principle and Conformal Symmetry in D-Particle Dynamics
• Holographic Non-Gaussianity
• The Holographic Universe
• A Smooth Exit from Eternal Inflation?
• Cosmological 3-point correlators from holography
• Consistency condition for inflation from (broken) conformal symmetry
• Quantum Probabilities for Inflation from Holography
• The trans-Planckian censorship conjecture from the swampland distance conjecture
• On the power spectrum of inflationary cosmologies dual to a deformed CFT
• Inflation and deformation of conformal field theory
• Multi-field inflation from holography
• $\delta N$ formalism from superpotential and holography
• Duality and Non-linear Response for Quantum Hall Systems
• Soft limits in holographic cosmology
• Constraining holographic inflation with WMAP
• Three and Four Point Functions of Stress Energy Tensors in D=3 for the Analysis of Cosmological Non-Gaussianities
• Constraining holographic cosmology using Planck data
• Holographic inflation and the conservation of $\zeta$
• Improvement of energy-momentum tensor and non-Gaussianities in holographic cosmology
• Holography for the very early Universe and the classic puzzles of Hot Big Bang cosmology
• Particle-vortex and Maxwell duality in the $Ad{S}_4\times {\mathbb{CP}}^3$/ABJM correspondence
• Primordial fluctuations from complex AdS saddle points
• Inflation and Decoupling
• On the TransPlanckian Censorship Conjecture in Holographic Cosmology
• Cosmology at the boundary of de Sitter using the dS/QFT correspondence
• Consistency relations and conservation of $\zeta$ in holographic inflation
• Solution of the cosmological constant problem within holographic cosmology

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