Holography, Diffeomorphisms, and Scaling Violations in the CMB

Abstract

We analyze diffeomorphism invariance in inflationary spacetimes regulated by a boundary at late time. We present the action for quadratic fluctuations in the presence of a boundary, and verify that it is gauge invariant precisely when the correct local counterterms are included. The scaling behavior of bulk correlation functions at the boundary is determined by Callan-Symanzik equations which predict scaling violations in agreement with the standard inflationary predictions for spectral indices of the CMB.

35+1 pages; added reference in the Introduction, corrected typos

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Cited by in corpus (26)

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• Holography for inflation using conformal perturbation theory
• Thermodynamics of Black Holes in Two (and Higher) Dimensions
• Bulk Dynamics in Confining Gauge Theories
• The Holographic Universe
• Decoupling in an expanding universe: backreaction barely constrains short distance effects in the CMB
• Cosmological 3-point correlators from holography
• Inflationary Consistency Conditions from a Wavefunctional Perspective
• Black hole mass and Hamilton-Jacobi counterterms
• Alpha-states in de Sitter space
• Holographic Renormalization in Teleparallel Gravity
• On the power spectrum of inflationary cosmologies dual to a deformed CFT
• $\delta N$ formalism from superpotential and holography
• Multi-field inflation from holography
• On the Decoherence of Primordial Gravitons
• Holographic counterterms from local supersymmetry without boundary conditions
• Holographic inflation and the conservation of $\zeta$
• Boundary Terms Unbound! Holographic Renormalization of Asymptotically Linear Dilaton Gravity
• Improvement of energy-momentum tensor and non-Gaussianities in holographic cosmology
• Naturalness in Cosmological Initial Conditions
• Black Hole Thermodynamics and Hamilton-Jacobi Counterterm
• Consistency relations and conservation of $\zeta$ in holographic inflation
• On the dual flow of slow-roll Inflation
• Unitarity at Infinity and Topological Holography
• Effects of high-order operators in non-relativistic Lifshitz holography
• Inhomogeneous post-inflationary Lambda-CDM cosmology as a moduli space expansion