Holographic entanglement negativity conjecture for adjacent intervals in $AdS_3/CFT_2$

Parul Jain; Vinay Malvimat; Sayid Mondal; Gautam Sengupta

doi:10.1016/j.physletb.2019.04.037

paper

Holographic entanglement negativity conjecture for adjacent intervals in $A d S_{3} / C F T_{2}$

arXiv:1707.08293 · doi:10.1016/j.physletb.2019.04.037

Abstract

We propose a holographic entanglement negativity conjecture involving the bulk geometry, for mixed states of adjacent intervals in $(1 + 1)$ -dimensional dual conformal field theories through the $A d S / C F T$ correspondence. The holographic entanglement negativity is obtained from a specific algebraic sum of the geodesics anchored on respective intervals on the boundary which reduces to the holographic mutual information between them. Utilizing our conjecture we obtain the entanglement negativity of adjacent intervals in zero and finite temperature ( $1 + 1$ )-dimensional holographic conformal field theories dual to the bulk $A d S_{3}$ vacuum and the Euclidean BTZ black hole respectively. Our holographic conjecture exactly reproduces the conformal field theory results obtained through the replica technique, in the large central charge limit. We briefly elucidate the corresponding issue for the $A d S_{d + 1} / C F T_{d}$ scenario.

8 pages and 3 figures

Holographic entanglement negativity conjecture for adjacent intervals in $A d S_{3} / C F T_{2}$

Abstract

References in corpus (11)

Cited by in corpus (33)

Holographic entanglement negativity conjecture for adjacent intervals in AdS3​/CFT2​

Abstract

References in corpus (11)

Cited by in corpus (33)

Holographic entanglement negativity conjecture for adjacent intervals in $A d S_{3} / C F T_{2}$