Entanglement Entropy in Warped Conformal Field Theories

Abstract

We present a detailed discussion of entanglement entropy in (1+1)-dimensional Warped Conformal Field Theories (WCFTs). We implement the Rindler method to evaluate entanglement and Renyi entropies for a single interval and along the way we interpret our results in terms of twist field correlation functions. Holographically a WCFT can be described in terms of Lower Spin Gravity, a SL(2,R)xU(1) Chern-Simons theory in three dimensions. We show how to obtain the universal field theory results for entanglement in a WCFT via holography. For the geometrical description of the theory we introduce the concept of geodesic and massive point particles in the warped geometry associated to Lower Spin Gravity. In the Chern-Simons description we evaluate the appropriate Wilson line that captures the dynamics of a massive particle.

37 pages + appendix, 2 figures; v2: minor changes, references added; v3: references added; v4: error corrected in derivation of twist operator dimensions, results unchanged

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Cited by in corpus (59)

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• A note on the complex SYK model and warped CFTs
• Locality and anomalies in warped conformal field theory
• On complexity growth in massive gravity theories, the effects of chirality and more
• Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals
• Warped Information and Entanglement Islands in AdS/WCFT
• Complexity and action for warped AdS black holes
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• Bootstrapping holographic warped CFTs or: how I learned to stop worrying and tolerate negative norms
• Warped Symmetries of the Kerr Black Hole
• Entanglement entropy from entanglement contour: higher dimensions
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• Entanglement and chaos in warped conformal field theories
• Volume and complexity for warped AdS black holes
• Wilson Lines and Ishibashi States in AdS${}_3$/CFT${}_2$
• Warped Black Holes in Lower-Spin Gravity
• Entanglement contour and modular flow from subset entanglement entropies
• 2d Galilean Field Theories with Anisotropic Scaling
• Charged Quantum Fields in AdS${}_2$
• Homogeneous Nonrelativistic Geometries as Coset Spaces
• A Schrödinger approach to Newton-Cartan and Hořava-Lifshitz gravities
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
• On the reconstruction of Lifshitz spacetimes
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• Complexity of warped conformal field theory
• Reflected Entropy in AdS${}_3$/WCFT
• Gravitational Wilson Lines in 3D de Sitter
• Subsystem complexity in warped AdS
• Eternal Higher Spin Black Holes: a Thermofield Interpretation
• Holographic entanglement entropy in $T\overline{T}$-deformed AdS${}_3$
• Holographic entanglement entropy in AdS${}_3$$/$WCFT
• Structure Constants from Modularity in Warped CFT
• Supersymmetric Warped Conformal Field Theory
• Entanglement Entropy for $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed holographic CFT
• Rényi Mutual Information in Holographic Warped CFTs
• Holographic Timelike Entanglement Entropy from Rindler Method
• New Chiral Gravity
• Near-Extremal Limits of Warped Black Holes
• What's the Point? Hole-ography in Poincare AdS
• Anomalous Gravitation and its Positivity from Entanglement
• Chern-Simons Gravity Dual of BCFT
• Banados and SUSY: On Supersymmetry and Minimal Surfaces of Locally AdS3 Geometries
• Warped Flatland
• Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations
• Holographic Entanglement Entropy in NMG
• Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model
• Note on Bulk Reconstruction in AdS${}_3$/WCFT${}_2$
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• First Law and Quantum Correction for Holographic Entanglement Contour
• Revisit the entanglement entropy with gravitational anomaly
• New Chiral Generalized Minimal Massive Gravity
• Gravitational radiations of Kerr black hole from warped symmetries
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble
• Warped CFT duals of the Plebański-Demiański family of solutions
• Developments in non-relativistic field theory and complexity