Work

Replica analysis of entanglement properties

Year: 2025

Type: article

Abstract: In this paper we develop a systematic analysis of the properties of entanglement entropy in curved backgrounds using the replica approach. We explore the analytic ( q − 1 ) expansion of Rényi entropy S q and its variations; our setup applies to generic variations, from symmetry transformations to variations of the background metric or entangling region. Our methodology elegantly reproduces and generalizes results from the literature on entanglement entropy in different dimensions, backgrounds and states. We use our analytic expansions to explore the behavior of entanglement entropy in static black hole backgrounds under specific scaling transformations, and we explain why this behavior is key to determining whether there are islands of entanglement.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.111.066018

Authors: Arvind Shekar, Marika Taylor

Institutions: University of Southampton, University of Birmingham

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: University of Southampton, Science and Technology Facilities Council

Awards: New Frontiers in Particle Physics, Cosmology and Gravity, New Frontiers in Particle Physics, Cosmology and Gravity