Entanglement entropy of subtracted geometry black holes

TL;DR

This paper calculates the entanglement entropy, including logarithmic corrections, for scalar fields on subtracted geometry black holes, revealing differences from original black holes and conditions to nullify these corrections.

Contribution

It provides the first detailed analysis of logarithmic entanglement entropy corrections in subtracted geometry black holes and explores how Harrison transformations affect these corrections.

Findings

Logarithmic corrections differ and can change sign in subtracted black holes.

Matching entanglement entropy between original and subtracted black holes is only at the area term.

Certain Harrison parameters can eliminate logarithmic corrections.

Abstract

We compute the entanglement entropy of minimally coupled scalar fields on subtracted geometry black hole backgrounds, focusing on the logarithmic corrections. We notice that matching between the entanglement entropy of original black holes and their subtracted counterparts is only at the order of the area term. The logarithmic correction term is not only different but also, in general, changes sign in the subtracted case. We apply Harrison transformations to the original black holes and find out the choice of the Harrison parameters for which the logarithmic corrections vanish.