Covariant holographic entanglement negativity for adjacent subsystems in AdS3/CFT2

被引:22
作者
Jain, Parul [1 ,2 ]
Malvimat, Vinay [3 ]
Mondal, Sayid [3 ]
Sengupta, Gautam [3 ]
机构
[1] Univ Cagliari Cittadella Univ, Dipartimento Fis, I-09042 Monserrato, Italy
[2] Ist Nazl Fis Nucl, Sez Cagliari, Cagliari, Italy
[3] Indian Inst Technol Kanpur, Dept Phys, Kanpur 208016, Uttar Pradesh, India
关键词
ENTROPY;
D O I
10.1016/j.nuclphysb.2019.114683
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We propose a covariant holographic entanglement negativity construction for time dependent mixed states of adjacent intervals in (1 + 1)-dimensional conformal field theories dual to non-static bulk AdS(3) configurations. Our prescription applied to (1 + 1)-dimensional conformal field theories with a conserved charge dual to non-extremal and extremal rotating BTZ black holes exactly reproduces the corresponding replica technique results, in the large central charge limit. We also utilize our construction to obtain the time dependent holographic entanglement negativity for the mixed state in question for the (1 + 1)-dimensional CFT dual to a bulk Vaidya-AdS(3) configuration. (C) 2019 The Authors. Published by Elsevier B.V.
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页数:18
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[1]   Holographic evolution of entanglement entropy [J].
Abajo-Arrastia, Javier ;
Aparicio, Joao ;
Lopez, Esperanza .
JOURNAL OF HIGH ENERGY PHYSICS, 2010, (11)
[2]   Evolution of holographic entanglement entropy after thermal and electromagnetic quenches [J].
Albash, Tameem ;
Johnson, Clifford V. .
NEW JOURNAL OF PHYSICS, 2011, 13
[3]  
[Anonymous], 2007, J HIGH ENERGY PHYS
[4]  
[Anonymous], J HIGH ENERGY PHYS
[5]  
[Anonymous], J HIGH ENERGY PHYS
[6]   Holographic thermalization [J].
Balasubramanian, V. ;
Bernamonti, A. ;
de Boer, J. ;
Copland, N. ;
Craps, B. ;
Keski-Vakkuri, E. ;
Mueller, B. ;
Schaefer, A. ;
Shigemori, M. ;
Staessens, W. .
PHYSICAL REVIEW D, 2011, 84 (02)
[7]   Black hole singularity, generalized (holographic) c-theorem and entanglement negativity [J].
Banerjee, Shamik ;
Paul, Partha .
JOURNAL OF HIGH ENERGY PHYSICS, 2017, (02)
[8]   The holographic principle [J].
Bousso, R .
REVIEWS OF MODERN PHYSICS, 2002, 74 (03) :825-874
[9]   CENTRAL CHARGES IN THE CANONICAL REALIZATION OF ASYMPTOTIC SYMMETRIES - AN EXAMPLE FROM 3-DIMENSIONAL GRAVITY [J].
BROWN, JD ;
HENNEAUX, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 104 (02) :207-226
[10]   Entanglement Entropy of AdS Black Holes [J].
Cadoni, Mariano ;
Melis, Maurizio .
ENTROPY, 2010, 12 (11) :2244-2267