TY - JOUR
T1 - Derivation of Holographic Negativity in AdS3/CFT2
AU - Kusuki, Yuya
AU - Kudler-Flam, Jonah
AU - Ryu, Shinsei
N1 - Publisher Copyright:
© 2019 authors. Published by the American Physical Society.
PY - 2019/9/27
Y1 - 2019/9/27
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.123.131603
DO - 10.1103/PhysRevLett.123.131603
M3 - Article
C2 - 31697537
AN - SCOPUS:85072800290
SN - 0031-9007
VL - 123
JO - Physical review letters
JF - Physical review letters
IS - 13
M1 - 131603
ER -