Derivation of holographic negativity in AdS$_3$/CFT$_2$
Abstract
We present a derivation of the holographic dual of logarithmic negativity in AdS/CFT that was recently conjectured in [Phys. Rev. D 99, 106014 (2019)]. This is given by the area of an extremal cosmic brane that terminates on the boundary of the entanglement wedge. The derivation consists of relating the recently introduced R\'enyi reflected entropy to the logarithmic negativity in holographic conformal field theories. Furthermore, we clarify previously mysterious aspects of negativity at large central charge seen in conformal blocks and comment on generalizations to generic dimensions, dynamical settings, and quantum corrections.
Keywords
Cite
@article{arxiv.1907.07824,
title = {Derivation of holographic negativity in AdS$_3$/CFT$_2$},
author = {Yuya Kusuki and Jonah Kudler-Flam and Shinsei Ryu},
journal= {arXiv preprint arXiv:1907.07824},
year = {2022}
}
Comments
4+2 pages. v2: supplemental material fixed and references added to match published version in PRL. v3: assumption regarding OPE coefficient clarified