Locality and anomalies in warped conformal field theory

Abstract

We study various aspects of warped conformal field theories (WCFTs) in two dimensions. We find new Lagrangian WCFTs, and show that all known Lagrangian WCFTs are local only after an infinite tuning. We deduce the anomalies of WCFTs and relate them to central charges, as well as analyze WCFT hydrostatics, thereby re-deriving the warped analogue of the Cardy formula. Finally, we point out that holographic WCFTs are semi-local, that matter fields in spacelike WAdS${}_3$ black hole geometries exhibit a Gregory-Laflamme-like instability, and that WAdS${}_3$ throats do not admit a decoupling limit.

38 pages; v2: minor changes

References in corpus (10)

• An Investigation of AdS${}_2$ Backreaction and Holography
• Warped AdS_3 Black Holes
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• Spacetime Symmetries of the Quantum Hall Effect
• Semi-classical central charge in topologically massive gravity
• Warped Conformal Field Theory as Lower Spin Gravity
• Holography for Schrodinger backgrounds
• Revisiting non-relativistic limits
• Aspects of hot Galilean field theory
• Tweaking one-loop determinants in AdS${}_3$

Cited by in corpus (33)

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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
• 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
• Warped Black Holes in Lower-Spin Gravity
• Homogeneous Nonrelativistic Geometries as Coset Spaces
• 2d Galilean Field Theories with Anisotropic Scaling
• Zooming in on AdS${}_3$/CFT${}_2$ near a BPS Bound
• Complexity of warped conformal field theory
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• Existence and Construction of Galilean invariant $z\ne 2$ Theories
• Holographic entanglement entropy in AdS${}_3$$/$WCFT
• Subsystem complexity in warped AdS
• Structure Constants from Modularity in Warped CFT
• Supersymmetric Warped Conformal Field Theory
• BMS Field Theories and Weyl Anomaly
• New Chiral Gravity
• Near-Extremal Limits of Warped Black Holes
• Torsion and anomalies in the warped limit of Lifschitz theories
• Warped Flatland
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• New Chiral Generalized Minimal Massive Gravity
• Gravitational radiations of Kerr black hole from warped symmetries
• Warped CFT duals of the Plebański-Demiański family of solutions
• Scale invariance with fundamental matters and anomaly: A holographic description
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble
• Developments in non-relativistic field theory and complexity