Some aspects of holographic W-gravity

Abstract

We use the Chern-Simons formulation of higher spin theories in three dimensions to study aspects of holographic W-gravity. Concepts which were useful in studies of pure bulk gravity theories, such as the Fefferman-Graham gauge and the residual gauge transformations, which induce Weyl transformations in the boundary theory and their higher spin generalizations, are reformulated in the Chern-Simons language. Flat connections that correspond to conformal and lightcone gauges in the boundary theory are considered.

42 pages

References in corpus (5)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Entanglement Entropy, Trace Anomalies and Holography
• Generalized Black Holes in Three-dimensional Spacetime
• Holographic currents in first order Gravity and finite Fefferman-Graham expansions

Cited by in corpus (12)

• Stress tensor correlators in three-dimensional gravity
• Higher Spin Black Holes with Soft Hair
• Towards a bulk description of higher spin SYK
• Warped Black Holes in Lower-Spin Gravity
• Symmetries and Charges in Weyl-Fefferman-Graham Gauge
• Chaos in Three-dimensional Higher Spin Gravity
• Wilson line networks in $p$-adic AdS/CFT
• The Schwarzian sector of higher spin CFTs
• The covariant action of higher spin black holes in three dimensions
• Asymptotic dynamics of three dimensional supergravity and higher spin gravity revisited
• Schwarzian for colored Jackiw-Teitelboim gravity
• Higher spin holography with Galilean symmetry in general dimensions