Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields

2010/08/31 by A. Campoleoni, Andrea Campoleoni, S. Fredenhagen +5 · 493 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Central charge #Charge (physics) #Coupling (piping) #Einstein #Gauge (firearms) #Gauge symmetry #Gauge theory #Homogeneous space #Noncommutative and Quantum Gravity Theories #Symmetry (geometry) #hep-th

paper · pdf · doi:10.1007/jhep11(2010)007

published in Journal of High Energy Physics 2010(11) (Springer Nature) · 38 pages; version to be published in JHEP; typos corrected in eqs. (2.9) and (2.54)

arxiv created 2010/11/01 · openalex publication_date 2010/11/01 · arxiv updated 2010/11/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We discuss the emergence of W-algebras as asymptotic symmetries of higher-spin gauge theories coupled to three-dimensional Einstein gravity with a negative cosmological constant. We focus on models involving a finite number of bosonic higher-spin fields, and especially on the example provided by the coupling of a spin-3 field to gravity. It is described by a SL(3) × SL(3) Chern-Simons theory and its asymptotic symmetry algebra is given by two copies of the classical W₃-algebra with central charge the one computed by Brown and Henneaux in pure gravity with negative cosmological constant.

Citations

• Black hole in three-dimensional spacetime
• Introduction to the Classical Theory of Higher Spins
• Quantum effective action from the AdS/CFT correspondence
• W-gravity from Chern-Simons theory
• 2 + 1 dimensional gravity as an exactly soluble system
• Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• W-symmetry in Conformal Field Theory

Cited by

• Bounds on CFTs with W3 algebras and AdS3 higher spin theories
• Anti–de Sitter holography for gravity and higher spin theories in two dimensions
• Topological gravity and transgression holography
• Higher spin black holes with soft hair
• Three-dimensional spin-3 theories based on general kinematical algebras
• Lifshitz holography with isotropic scale invariance
• On the chaos bound in rotating black holes
• A note on the N = 2 super-W₃ holographic dictionary
• An action for matter coupled higher spin gravity in three dimensions