Entanglement wedge in flat holography and entanglement negativity
Debarshi Basu, Ashish Chandra, Vinayak Raj, Gautam Sengupta
SciPost Phys. Core 5, 013 (2022) · published 15 March 2022
- doi: 10.21468/SciPostPhysCore.5.1.013
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Abstract
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.
Cited by 20
Authors / Affiliation: mappings to Contributors and Organizations
See all Organizations.- 1 Debarshi Basu,
- 1 Ashish Chandra,
- 1 Vinayak Raj,
- 1 Gautam Sengupta