On Classical Equivalence Between Noncritical and Einstein Gravity : The AdS/CFT Perspectives

TL;DR

This paper demonstrates that noncritical higher derivative gravity is classically equivalent to Einstein gravity and explores the implications for dual fluid dynamics and entanglement entropy in the AdS/CFT framework.

Contribution

It establishes the classical equivalence between noncritical and Einstein gravity and computes key holographic quantities to all orders in higher derivative couplings.

Findings

Viscosity-to-entropy ratio matches Einstein gravity predictions

Second order transport coefficients are derived for the dual fluid

Holographic entanglement entropy confirms the equivalence

Abstract

We find that noncritical gravity, a special class of higher derivative gravity, is classically equivalent to Einstein gravity at the full nonlinear level. We obtain the viscosity-to-entropy ratio and the second order transport coefficients of the dual fluid of noncritical gravity to all orders in the coupling of higher derivative terms. We also compute the holographic entanglement entropy in the dual CFT of noncritical gravity. All these results confirm the nonlinear equivalence between noncritical gravity and Einstein gravity at the classical level.