Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2202.00683 · Physical review. D/Physical review. D.

Entanglement negativity, reflected entropy, and anomalous gravitation

Debarshi Basu, Himanshu Parihar, Vinayak Raj, Gautam Sengupta

Published Apr 19, 2022• 34 citations
arXivHTMLPDF

Abstract

We investigate mixed state entanglement measures of entanglement negativity and reflected entropy for bipartite states in two dimensional conformal field theories with an anomaly through appropriate replica techniques. Furthermore we propose holographic constructions for these measures from the corresponding bulk dual geometries involving topologically massive gravity in ${\mathrm{AdS}}_{3}$ and find exact agreement with the field theory results. In this connection we extend an earlier holographic proposal for the entanglement negativity to the bulk action with a gravitational Chern-Simons term and compute its contribution to the entanglement wedge cross section dual to the reflected entropy.

DOI
10.1103/physrevd.105.086013

Related papers

Entanglement wedge in flat holography and entanglement negativity

Debarshi Basu, Ashish Chandra, Vinayak Raj +1 more

We establish a construction for the entanglement wedge in asymptotically flat bulk geometries for subsystems in dual (1+1)-dimensional Galilean conformal field theories in the context of flat space holography. In this connection we propose a definition for the bulk entanglement wedge cross section for bipartite states of such dual non relativistic conformal field theories. Utilizing our construction for the entanglement wedge cross section we compute the entanglement negativity for such bipartite states through the generalization of an earlier proposal, in the context of the usual AdS/CFT scenario, to flat space holography. The entanglement negativity obtained from our construction exactly reproduces earlier holographic results and match with the corresponding field theory replica technique results in the large central charge limit.

arXiv:2106.14896•SciPost Physics Core•Mar 15, 2022•41 citations

Holographic entanglement negativity for disjoint intervals in $$AdS_3/CFT_2$$ A d S 3 / C F T 2

Vinay Malvimat, Sayid Mondal, Boudhayan Paul +1 more

We advance a holographic construction for the entanglement negativity of bipartite mixed state configurations of two disjoint intervals in $$(1+1)$$ dimensional conformal field theories ( $$CFT_{1+1}$$ ) through the $$AdS_3/CFT_2$$ correspondence. Our construction constitutes the large central charge analysis of the entanglement negativity for mixed states under consideration and involves a specific algebraic sum of bulk space like geodesics anchored on appropriate intervals in the dual $$CFT_{1+1}$$ . The construction is utilized to compute the holographic entanglement negativity for such mixed states in $$CFT_{1+1}$$ s dual to bulk pure $$AdS_3$$ geometries and BTZ black holes respectively. Our analysis exactly reproduces the universal features of corresponding replica technique results in the large central charge limit which serves as a consistency check.

arXiv:1810.08015•The European Physical Journal C•Mar 1, 2019•45 citations

Holographic entanglement negativity in flat space generalized minimal massive gravity

Mohammad Reza Setare, M. Koohgard

In this paper, we study the application of holographic entanglement negativity proposal for bipartite states in the 2D Galilean conformal field theory [Formula: see text] dual to bulk asymptotically flat space–times in the context of generalized minimal massive gravity (GMMG) model. [Formula: see text] is considered on the boundary side of the duality and the bulk gravity is described by GMMG that is asymptotically symmetric under the Galilean conformal transformations. In this paper, the replica technique, based on the two-point and the four-point twist correlators, is utilized and the entanglement entropy and the entanglement negativity are obtained in the bipartite configurations of the system in the boundary.

arXiv:2105.00167•International Journal of Modern Physics A•Feb 17, 2022•8 citations

Holographic entanglement entropy and gravitational anomalies

Alejandra Castro, Stephane Detournay, Nabil Iqbal +1 more

We study entanglement entropy in two-dimensional conformal field theories with a gravitational anomaly. In theories with gravity duals, this anomaly is holographically represented by a gravitational Chern-Simons term in the bulk action. We show that the anomaly broadens the Ryu-Takayanagi minimal worldline into a ribbon, and that the anomalous contribution to the CFT entanglement entropy is given by the twist in this ribbon. The entanglement functional may also be interpreted as the worldline action for a spinning particle — that is, an anyon — in three-dimensional curved spacetime. We demonstrate that the minimization of this action results in the Mathisson-Papapetrou-Dixon equations of motion for a spinning particle in three dimensions. We work out several simple examples and demonstrate agreement with CFT calculations.

arXiv:1405.2792•Journal of High Energy Physics•Jul 1, 2014•99 citations

Reflected entropy in Galilean conformal field theories and flat holography

Jaydeep Kumar Basak, Himanshu Chourasiya, Vinayak Raj +1 more

Abstract We obtain the reflected entropy for bipartite states in a class of $$(1+1)$$ ( 1 + 1 ) -dimensional Galilean conformal field theories $$(GCFT_{1+1})$$ ( G C F T 1 + 1 ) through a replica technique. Furthermore we compare our results with the entanglement wedge cross section (EWCS) obtained for the dual (2 + 1) dimensional asymptotically flat geometries in the context of flat holography. We find that our results are consistent with the duality between the reflected entropy and the bulk EWCS for flat holographic scenarios.

arXiv:2202.01201•The European Physical Journal C•Dec 26, 2022•11 citations

Covariant holographic reflected entropy in AdS3/CFT2

Mir Afrasiar, Himanshu Chourasiya, Vinayak Raj +1 more

We substantiate a covariant proposal for the holographic reflected entropy in CFTs dual to non-static AdS geometries from the bulk extremal entanglement wedge cross section in the literature with explicit computations in the AdS3/CFT2 scenario. In this context we obtain the reflected entropy for zero and finite temperature time dependent bipartite mixed states in CFT1+1s with a conserved charge dual to bulk rotating extremal and non-extremal BTZ black holes through a replica technique. Our results match exactly with the corresponding extremal entanglement wedge cross section for these bulk geometries in the literature. This constitutes a significant consistency check for the proposal and its possible extension to the corresponding higher dimensional AdS/CFT scenario.

arXiv:2209.02654•Physics Letters B•Nov 23, 2022•3 citations
We investigate mixed state entanglement measures of entanglement negativity and reflected entropy for bipartite states in two dimensional conformal field theories with an anomaly through appropriate replica techniques. Furthermore we propose holographic constructions for these measures from the corresponding bulk dual geometries involving topologically massive gravity in AdS3{\mathrm{AdS}}_{3}AdS3​ and find exact agreement with the field theory results. In this connection we extend an earlier holographic proposal for the entanglement negativity to the bulk action with a gravitational Chern-Simons term and compute its contribution to the entanglement wedge cross section dual to the reflected entropy.
We establish a construction for the entanglement wedge in asymptotically flat bulk geometries for subsystems in dual (1+1)-dimensional Galilean conformal field theories in the context of flat space holography. In this connection we propose a definition for the bulk entanglement wedge cross section for bipartite states of such dual non relativistic conformal field theories. Utilizing our construction for the entanglement wedge cross section we compute the entanglement negativity for such bipartite states through the generalization of an earlier proposal, in the context of the usual AdS/CFT scenario, to flat space holography. The entanglement negativity obtained from our construction exactly reproduces earlier holographic results and match with the corresponding field theory replica technique results in the large central charge limit.
Holographic entanglement negativity for disjoint intervals in AdS3/CFT2AdS_3/CFT_2AdS3​/CFT2​ A d S 3 / C F T 2
We advance a holographic construction for the entanglement negativity of bipartite mixed state configurations of two disjoint intervals in (1+1)(1+1)(1+1) dimensional conformal field theories ( CFT1+1CFT_{1+1}CFT1+1​ ) through the AdS3/CFT2AdS_3/CFT_2AdS3​/CFT2​ correspondence. Our construction constitutes the large central charge analysis of the entanglement negativity for mixed states under consideration and involves a specific algebraic sum of bulk space like geodesics anchored on appropriate intervals in the dual CFT1+1CFT_{1+1}CFT1+1​ . The construction is utilized to compute the holographic entanglement negativity for such mixed states in CFT1+1CFT_{1+1}CFT1+1​ s dual to bulk pure AdS3AdS_3AdS3​ geometries and BTZ black holes respectively. Our analysis exactly reproduces the universal features of corresponding replica technique results in the large central charge limit which serves as a consistency check.
In this paper, we study the application of holographic entanglement negativity proposal for bipartite states in the 2D Galilean conformal field theory [Formula: see text] dual to bulk asymptotically flat space–times in the context of generalized minimal massive gravity (GMMG) model. [Formula: see text] is considered on the boundary side of the duality and the bulk gravity is described by GMMG that is asymptotically symmetric under the Galilean conformal transformations. In this paper, the replica technique, based on the two-point and the four-point twist correlators, is utilized and the entanglement entropy and the entanglement negativity are obtained in the bipartite configurations of the system in the boundary.
We study entanglement entropy in two-dimensional conformal field theories with a gravitational anomaly. In theories with gravity duals, this anomaly is holographically represented by a gravitational Chern-Simons term in the bulk action. We show that the anomaly broadens the Ryu-Takayanagi minimal worldline into a ribbon, and that the anomalous contribution to the CFT entanglement entropy is given by the twist in this ribbon. The entanglement functional may also be interpreted as the worldline action for a spinning particle — that is, an anyon — in three-dimensional curved spacetime. We demonstrate that the minimization of this action results in the Mathisson-Papapetrou-Dixon equations of motion for a spinning particle in three dimensions. We work out several simple examples and demonstrate agreement with CFT calculations.
Abstract We obtain the reflected entropy for bipartite states in a class of (1+1)(1+1)(1+1) ( 1 + 1 ) -dimensional Galilean conformal field theories (GCFT1+1)(GCFT_{1+1})(GCFT1+1​) ( G C F T 1 + 1 ) through a replica technique. Furthermore we compare our results with the entanglement wedge cross section (EWCS) obtained for the dual (2 + 1) dimensional asymptotically flat geometries in the context of flat holography. We find that our results are consistent with the duality between the reflected entropy and the bulk EWCS for flat holographic scenarios.
We substantiate a covariant proposal for the holographic reflected entropy in CFTs dual to non-static AdS geometries from the bulk extremal entanglement wedge cross section in the literature with explicit computations in the AdS3/CFT2 scenario. In this context we obtain the reflected entropy for zero and finite temperature time dependent bipartite mixed states in CFT1+1s with a conserved charge dual to bulk rotating extremal and non-extremal BTZ black holes through a replica technique. Our results match exactly with the corresponding extremal entanglement wedge cross section for these bulk geometries in the literature. This constitutes a significant consistency check for the proposal and its possible extension to the corresponding higher dimensional AdS/CFT scenario.