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Journal of High Energy Physics

, 2019:220 | Cite as

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

  • Qiang WenEmail author
Open Access
Regular Article - Theoretical Physics
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Abstract

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 AdS3 with a Dirichlet-Neumann type of boundary conditions. We find that certain type of null geodesics emanating from the entangling surface ∂\( \mathcal{A} \) 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 ∂\( \mathcal{A} \), 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 ∂\( \mathcal{A} \) 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.

Keywords

Conformal Field Theory Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) 
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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Shing-Tung Yau Center and School of MathematicsSoutheast UniversityNanjingChina
  2. 2.Graduate SchoolChina Academy of Engineering PhysicsBeijingChina

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