Warped Entanglement Entropy

Abstract

We study the applicability of the covariant holographic entanglement entropy proposal to asymptotically warped AdS${}_3$ spacetimes with an SL(2,R) x U(1) isometry. We begin by applying the proposal to locally AdS${}_3$ backgrounds which are written as a real-line fibration over AdS${}_2$. We then perturb away from this geometry by considering a warping parameter $a=1+\delta$ to get an asymptotically warped AdS${}_3$ spacetime and compute the dual entanglement entropy perturbatively in $\delta$. We find that for large separation in the fiber coordinate, the entanglement entropy can be computed to all orders in $\delta$ and takes the universal form appropriate for two-dimensional CFTs. The warping-dependent central charge thus identified exactly agrees with previous calculations in the literature. Performing the same perturbative calculations for the warped BTZ black hole again gives universal two-dimensional CFT answers, with the left-moving and right-moving temperatures appearing appropriately in the result.

25 pages plus appendices; v2 references added, discussions clarified and equations sharpened

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Cited by in corpus (25)

• Entanglement Entropy in Flat Holography
• Warped Conformal Field Theory as Lower Spin Gravity
• Holographic entanglement entropy and gravitational anomalies
• Entanglement Entropy in Warped Conformal Field Theories
• Modifications to Holographic Entanglement Entropy in Warped CFT
• Comments on Renyi entropy in AdS${}_3$/CFT${}_2$
• Warped Weyl fermion partition functions
• Swing surfaces and holographic entanglement beyond AdS/CFT
• Locality and anomalies in warped conformal field theory
• Holographic Duals of Inhomogeneous Systems: The Rainbow Chain and the Sine-Square Deformation Model
• Warped Information and Entanglement Islands in AdS/WCFT
• Complexity and action for warped AdS black holes
• Generalized Gravitational Entropy for Warped Anti-de Sitter Space
• Volume and complexity for warped AdS black holes
• Calibrated Entanglement Entropy
• Hawking Radiation of Massive Vector Particles From Warped AdS${}_3$ Black Hole
• Charged Quantum Fields in AdS${}_2$
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• Complexity of warped conformal field theory
• Subsystem complexity in warped AdS
• Banados and SUSY: On Supersymmetry and Minimal Surfaces of Locally AdS3 Geometries
• Holographic Entanglement Entropy in NMG
• Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations
• Warped Flatland
• Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model