Asymptotic freedom, asymptotic flatness and cosmology

Abstract

Holographic RG flows in some cases are known to be related to cosmological solutions. In this paper another example of such correspondence is provided. Holographic RG flows giving rise to asymptotically-free $\beta$-functions have been analyzed in connection with holographic models of QCD. They are shown upon Wick rotation to provide a large class of inflationary models with logarithmically-soft inflaton potentials. The scalar spectral index is universal and depends only on the number of e-foldings. The ratio of tensor to scalar power depends on the single extra real parameter that defines this class of models. The Starobinsky inflationary model as well as the recently proposed models of T-inflation are members of this class. The holographic setup gives a completely new (and contrasting) view to the stability, naturalness and other problems of such inflationary models.

17 pages, LateX. (v2) References added, comments on naturalness and generalisations added

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• Asymptotically Safe Starobinsky Inflation
• On gauge dependence of gravitational waves from a first-order phase transition in classical scale-invariant $U(1{)}^{\prime }$ models
• Cosmological Shapes of Higher-Spin Gravity
• $\beta$-function formalism for inflationary models with a non minimal coupling with gravity
• Holographic self-tuning of the cosmological constant
• Multi-field inflation from holography
• $\delta N$ formalism from superpotential and holography
• Universality for quintessence
• Supersymmetry Breaking and Inflation from Higher Curvature Supergravity
• Holographic inflation and the conservation of $\zeta$
• Improvement of energy-momentum tensor and non-Gaussianities in holographic cosmology
• General sGoldstino Inflation
• Perturbative search for dead-end CFTs
• Universality in generalized models of inflation
• Rescuing Quadratic Inflation
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• de Sitter versus anti-de Sitter in Horndeski-like gravity
• FRW cosmologies and hyperscaling-violating geometries: higher curvature corrections, ultrametricity, Q-space/QFT duality, and a little string theory
• An Hamilton-Jacobi formulation of anisotropic inflation
• Inflation as an Information Bottleneck - A strategy for identifying universality classes and making robust predictions
• Brane cosmology and the self-tuning of the cosmological constant
• Consistency relations and conservation of $\zeta$ in holographic inflation
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• Inflationary Twin Models
• Primordial perturbations and inflation in holographic cosmology
• Dark Energy from holographic theories with hyperscaling violation
• On the dual flow of slow-roll Inflation
• Effects of high-order operators in non-relativistic Lifshitz holography
• Thick branes in Horndeski gravity