TL;DR
This paper explores holographic W-gravity using Chern-Simons theory, reformulating key concepts like gauge fixing and residual transformations to understand higher spin holography in three dimensions.
Contribution
It introduces a Chern-Simons framework for higher spin holography, extending concepts from pure gravity to include higher spin symmetries and gauge transformations.
Findings
Reformulation of Fefferman-Graham gauge in Chern-Simons language
Analysis of residual gauge transformations inducing boundary Weyl transformations
Study of flat connections corresponding to boundary gauges
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.
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