Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals

A bstract Based on the Lewkowycz-Maldacena prescription and the fine structure analysis of holographic entanglement proposed in [ 1 ], we explicitly calculate the holographic entanglement entropy for warped CFT that duals to AdS 3 with a Dirichlet-Neumann type of boundary conditions. We find that ce...

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Bibliographic Details
Published in:The journal of high energy physics 2019-01, Vol.2019 (1), p.1-41, Article 220
Main Author: Wen, Qiang
Format: Article
Language:English
Subjects:
Boundary conditions
Classical and Quantum Gravitation
Conformal Field Theory
Dirichlet problem
Elementary Particles
Emission
Entanglement
Entropy
Field theory
Fine structure
Gauge-gravity correspondence
Geodesy
Gravitation
High energy physics
Holography and condensed matter physics (AdS/CMT)
Hyperspaces
Invariants
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Structural analysis
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Summary:A bstract Based on the Lewkowycz-Maldacena prescription and the fine structure analysis of holographic entanglement proposed in [ 1 ], we explicitly calculate the holographic entanglement entropy for warped CFT that duals to AdS 3 with a Dirichlet-Neumann type of boundary conditions. We find that certain type of null geodesics emanating from the entangling surface ∂ A relate the field theory UV cutoff and the gravity IR cutoff. Inspired by the construction, we furthermore propose an intrinsic prescription to calculate the generalized gravitational entropy for general spacetimes with non-Lorentz invariant duals. Compared with the RT formula, there are two main differences. Firstly, instead of requiring that the bulk extremal surface ℰ should be anchored on ∂ A , we require the consistency between the boundary and bulk causal structures to determine the corresponding ℰ. Secondly we use the null geodesics (or hypersurfaces) emanating from ∂ A and normal to ℰ to regulate ℰ in the bulk. We apply this prescription to flat space in three dimensions and get the entanglement entropies straightforwardly.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2019)220