AdS Bubbles, E$p$-branes and Entanglement

TL;DR

This paper explores AdS-bubble solutions and their E$p$-brane counterparts, revealing their geometric properties, dualities, and entanglement entropy characteristics, with implications for understanding holographic entanglement in string theory.

Contribution

It introduces E$p$-brane bubble solutions via T-duality and derives their entanglement entropy, highlighting their smoothness and unique scaling properties compared to AdS-bubbles.

Findings

AdS-bubbles mimic Schrödinger-like geometries in light-cone coordinates

E$p$-brane bubbles have positive dynamical exponent and are related by T-duality

Entanglement entropy for E3-branes is computed and argued to be minimal

Abstract

The AdS-bubble solutions interestingly mimic Schr\"odinger-like geometries when expressed in light-cone coordinates. These D$p$ bubble vacuas exhibit asymmetric scaling property with a negative dynamical exponent of time $a<0$, but are smooth geometries. Through a time-like T-duality we map these vacua to E$p$-brane bubbles with $a>0$ in type II* super-strings. We obtain an expression for the entanglement entropy for `bubble E3-branes'. It is argued that the entropy from E3-bubbles has to be the lowest.