Holographic entanglement entropy for massive flavours in dS_4

TL;DR

This paper investigates how massive flavor fields affect holographic entanglement entropy in de Sitter space, revealing phase transitions and universal logarithmic contributions in different mass regimes.

Contribution

It provides a detailed analysis of the finite massive corrections to entanglement entropy in de Sitter space, highlighting phase transitions and universal behaviors.

Findings

Finite correction approaches flat space result for small masses.

Large sphere entanglement entropy includes a log term in sphere radius.

Evidence of universal logarithmic contribution in large mass limit.

Abstract

We examine the holographic entanglement entropy of spherical regions in de Sitter space in the presence of massive flavour fields which are modelled by probe D7 branes in AdS_5xS^5. We focus on the finite part of the massive correction to the entropy in the limits of small mass and large mass that are separated by a phase transition between two topologically distinct brane embeddings. For small masses, it approaches the flat space result for small spheres, whereas for large spheres there is a term that goes as the log of the sphere radius. For large masses, we find evidence for a universal contribution logarithmic in the mass. In all cases the entanglement entropy is smooth as the sphere radius crosses the horizon.