Covariant holographic entanglement negativity for adjacent subsystems in AdS 3 /CFT 2

Jain, Parul (Dipartimento di Fisica, Università di Cagliari Cittadella Universitaria, Monserrato, 09042, Italy) (INFN, Sezione di Cagliari, Italy) ; Malvimat, Vinay (Department of Physics, Indian Institute of Technology Kanpur, Kanpur, 208016, India) ; Mondal, Sayid (Department of Physics, Indian Institute of Technology Kanpur, Kanpur, 208016, India) ; Sengupta, Gautam (Department of Physics, Indian Institute of Technology Kanpur, Kanpur, 208016, India)

27 June 2019

Abstract: 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 AdS3 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- AdS3 configuration.


Published in: Nuclear Physics B 945 (2019) DOI: 10.1016/j.nuclphysb.2019.114683
License: CC-BY-3.0



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