Note on Holographic RG Flow in String Cosmology

Abstract

We propose a new holographic C-function for the accelerating universe defined in the stringy frame motivated mainly by the fact that the number of degrees of freedom should be infinite for a physical system of infinite size. This is the generalization of Strominger's recent proposal of the holographic C-function to the asymptotically non-de Sitter universe. We find that the corresponding C-theorem holds true if the universe accelerates toward the weak coupling regime driven by the exponential dilaton potential. It also holds in other simple cases.

15 pages, no figure; v3. references added, final to CQG

References in corpus (5)

• String Theory and Quintessence
• Cosmological and black hole brane-world Universes in higher derivative gravity
• The Acceleration of the Universe, a Challenge for String Theory
• De Sitter Space in Supergravity and M Theory
• Conformal anomaly from dS/CFT correspondence

Cited by in corpus (6)

• Tall tales from de Sitter space I: Renormalization group flows
• (Anti-) de Sitter Black Holes in higher derivative gravity and dual Conformal Field Theories
• A new twist on dS/CFT
• On higher derivative gravity, c-theorems and cosmology
• Supersymmteric Null-like Holographic Cosmologies
• q-Deformed de Sitter/Conformal Field Theory Correspondence