Holographic entanglement negativity for conformal field theories with a conserved charge

Jain, Prem C.; Malvimat, Vinay; Mondal, Sayid; Sengupta, Gautam

doi:10.1140/epjc/s10052-018-6383-y

Cited by 27 publications

(35 citation statements)

References 42 publications

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“…In the above context, it was natural to seek a corresponding holographic characterization for the entanglement negativity of such bipartite states in dual CFT d s. This was initially attempted for the pure vacuum state of dual CFT d s in [19]. Subsequently a comprehensive holographic construction for the entanglement negativity of both pure and mixed states in dual CFT 1+1 s was advanced in the context of the AdS 3 /CFT 2 [20][21][22][23] scenario. These proposals were substantiated by a large central charge analysis of the entanglement negativity for CFT 1+1 s utilizing the monodromy technique in [13,[24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Entanglement Negativity in Flat Holography

et al. 2022

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We advance holographic constructions for the entanglement negativity of bipartite states in a class of (1+1)-dimensional Galilean conformal field theories dual to asymptotically flat three dimensional bulk geometries described by Einstein Gravity and Topologically Massive Gravity. The construction involves specific algebraic sums of the lengths of bulk extremal curves homologous to certain combinations of the intervals appropriate to such bipartite states. Our analysis exactly reproduces the corresponding replica technique results in the large central charge limit. We substantiate our construction through a semi classical analysis involving the geometric monodromy technique for the case of two disjoint intervals in such holographic Galilean conformal field theories.

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Section: Introductionmentioning

confidence: 99%

Entanglement Negativity in Flat Holography

et al. 2022

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“…The particular combination of which extremal surfaces appeared in the sum was determined by the mixed state in question. A plausible higher dimensional extension of the above mentioned holographic proposals and their applications to subsystems with rectangular strip like geometry were explored in [84][85][86][87][88][89].…”

Section: Introductionmentioning

confidence: 99%

Islands for entanglement negativity

et al. 2022

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We advance two alternative proposals for the island contributions to the entanglement negativity of various pure and mixed state configurations in quantum field theories coupled to semiclassical gravity. The first construction involves the extremization of an algebraic sum of the generalized Renyi entropies of order half. The second proposal involves the extremization of the sum of the effective entanglement negativity of quantum matter fields and the backreacted area of a cosmic brane spanning the entanglement wedge cross section which also extremizes the generalized Renyi reflected entropy of order half. These proposals are utilized to obtain the island contributions to the entanglement negativity of various pure and mixed state configurations involving the bath systems coupled to extremal and non-extremal black holes in JT gravity demonstrating an exact match with each other. Furthermore, the results from both the proposals match precisely with the island contribution to half the Renyi reflected entropy of order half providing a strong consistency check. We then allude to a possible doubly holographic picture of our island proposals and provide a derivation of the first proposal by determining the corresponding replica wormhole contributions.

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“…However a bulk proof of the conjecture similar to [37] and [38] is a non trivial outstanding issue. Following this it was possible to obtain the holographic entanglement negativity for mixed state configurations of adjacent subsystems in dual C FT s [39][40][41] and its covariant generalization in [42].…”

Section: Introductionmentioning

confidence: 99%

Covariant holographic entanglement negativity for disjoint intervals in $$AdS_3/CFT_2$$

et al. 2019

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We advance a construction for the covariant holographic entanglement negativity for time dependent mixed states of disjoint intervals in (1 + 1) dimensional conformal field theories (C FT 1+1) dual to bulk non static Ad S 3 geometries. Application of our proposal to such mixed states in a C FT 1+1 dual to bulk non extremal and extremal rotating BTZ black holes exactly reproduces the replica technique results in the large central charge limit. We also investigate the time dependent holographic entanglement negativity for such mixed states in a C FT 1+1 dual to a bulk Vaidya-Ad S 3 geometry in the context of their thermalization involving bulk black hole formation.

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Holographic entanglement negativity for conformal field theories with a conserved charge

Cited by 27 publications

References 42 publications

Entanglement Negativity in Flat Holography

Entanglement Negativity in Flat Holography

Islands for entanglement negativity

Covariant holographic entanglement negativity for disjoint intervals in $$AdS_3/CFT_2$$

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