Holographic Entanglement Entropy in NMG

TL;DR

This paper explores how higher derivative theories like New Massive Gravity influence holographic entanglement entropy, revealing new entangling surfaces and their implications in Lifshitz and Warped AdS spacetimes.

Contribution

It demonstrates the existence of new entangling surfaces with non-zero extrinsic curvature in NMG and analyzes their role in holographic entanglement entropy calculations.

Findings

Discovery of new entangling surfaces in NMG

Role of higher derivatives in entropy calculations

Insights into dual boundary theories

Abstract

In this paper, we show that a higher derivative theory, such as New Massive Gravity, allows the existence of new entangling surfaces with non-zero extrinsic curvature. We perform the analysis for Lifshitz and Warped $AdS$ space times, revealing the role of the higher derivative contributions in the calculation of the holographic entanglement entropy. Finally, as an outcome of our holographic analysis we briefly comment on the dual boundary theory.