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Locality and anomalies in warped conformal field theory

2017/10/31 by Kristan Jensen · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Decoupling (probability) #Engineering #Field (mathematics) #Geometry #Holography #Instability #Lagrangian #Locality #Mathematical physics #Mathematics #Philosophy #Physics #Point (geometry) #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum electrodynamics #Quantum mechanics #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep12(2017)111

38 pages; v2: minor changes

openalex publication_date 2017/12/01 · arxiv created 2018/01/31 · arxiv updated 2018/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 WAdS3 black hole geometries exhibit a Gregory-Laflamme-like instability, and that WAdS3 throats do not admit a decoupling limit.

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