Derivation of Holographic Negativity in AdS3/CFT2

Yuya Kusuki, Jonah Kudler-Flam, Shinsei Ryu

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24 Scopus citations

Abstract

We present a derivation of the holographic dual of logarithmic negativity in AdS3/CFT2 that was recently conjectured in Phys. Rev. D 99, 106014 (2019PRVDAQ2470-001010.1103/PhysRevD.99.106014). 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 Rényi reflected entropy to the logarithmic negativity in holographic conformal field theories. Furthermore, we clarify previously mysterious aspects of negativity at a large central charge seen in conformal blocks and comment on generalizations to generic dimensions, dynamical settings, and quantum corrections.

Original languageEnglish (US)
Article number131603
JournalPhysical review letters
Volume123
Issue number13
DOIs
StatePublished - Sep 27 2019
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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