Higher order curvature corrections and holographic renormalization group flow

Abstract

We study the holographic renormalization group (RG) flow in the presence of higher-order curvature corrections to the $(d+1)$-dimensional Einstein-Hilbert (EH) action for an arbitrary interacting scalar matter field by using the superpotential approach. We find the critical points of the RG flow near the local minima and maxima of the potential and show the existence of the bounce solutions. In contrast to the EH gravity, regarding the values of couplings of the bulk theory, superpotential may have both upper and lower bounds. Moreover, the behavior of the RG flow controls by singular curves. This study may shed some light on how a c-function can exist in the presence of these corrections.

33 pages, 4 figures

References in corpus (8)

• Viscosity Bound and Causality Violation
• Hamilton-Jacobi method for Domain Walls and Cosmologies
• Black string first order flow in N=2, d=5 abelian gauged supergravity
• Renormalized holographic entanglement entropy for Quadratic Curvature Gravity
• Holographic complexity in general quadratic curvature theory of gravity
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Cited by in corpus (2)

• $c$-functions in Higher-derivative Flows Across Dimensions
• Explicit Entropic Proofs of Irreversibility Theorems for Holographic RG Flows