AdS/BCFT Correspondence for Higher Curvature Gravity: An Example

TL;DR

This paper investigates how higher curvature terms in three-dimensional gravity affect holographic duals of boundary conformal field theories, demonstrating that key entropic and holographic properties are preserved with effective parameters.

Contribution

It extends the AdS/BCFT correspondence to higher curvature gravity, showing that boundary and entanglement entropy formulas remain similar with effective constants, and confirms the g-theorem still applies.

Findings

Boundary and entanglement entropy formulas are similar to Einstein gravity with effective constants.

The holographic g-theorem holds in higher curvature gravity extensions.

Results are consistent with auxiliary field formalism.

Abstract

We consider the effects of higher curvature terms on a holographic dual description of boundary conformal field theory. Specifically, we consider three-dimensional gravity with a specific combination of Ricci tensor square and curvature scalar square, so called, new massive gravity. We show that a boundary entropy and an entanglement entropy are given by similar expression with those of the Einstein gravity case when we introduce an {\it effective} Newton's constant and an {\it effective} cosmological constant. We also show that the holographic g-theorem still holds in this extension, and we give some comments about the central charge dependence of boundary entropy in the holographic construction. In the same way, we consider new type black holes and comment on the boundary profile. Moreover, we reproduce these results through auxiliary field formalism in this specific higher curvature gravity.