Holographic Boundary Conformal Field Theory within Horndeski Gravity

TL;DR

This paper explores how Horndeski gravity modifies entanglement entropy and the Page curve in holographic boundary conformal field theories, revealing significant geometric and informational differences from standard gravity.

Contribution

It analytically studies entanglement islands and the Page curve in Horndeski gravity, showing how scalar field parameters influence quantum information distribution and holographic consistency constraints.

Findings

Horndeski parameters significantly alter the Page curve behavior.

Geometry far from the AdS limit impacts entanglement properties more than previously thought.

Holographic consistency can constrain Horndeski gravity parameters.

Abstract

We investigate entanglement islands and the Page curve in the framework of Horndeski gravity on a Karch-Randall braneworld background. In particular, treating the holographic boundary conformal field theory analytically we find that the Horndeski parameters significantly alter the behavior of the Page curve compared to standard general relativity, a feature caused by the nontrivial geometry induced by the Horndeski scalar field. Interestingly enough, the geometry far from the AdS limit plays a more significant role compared to previous studies. This suggests that Horndeski gravity introduces important modifications to the distribution of quantum information in the holographic model. Finally, we claim that holographic consistency can be used reversely to impose constraints on Horndeski gravity itself, providing a new tool for probing the validity of modified gravity theories.