Global and local properties of AdS(2) higher spin gravity

TL;DR

This paper introduces a two-dimensional BF theory with infinite higher spin fields as a model for AdS(2) higher spin gravity, analyzing its algebraic structure and formulations.

Contribution

It proposes a new AdS(2) higher spin gravity model with detailed algebraic and formulation analysis, including global algebras and truncations.

Findings

Realization of infinite-dimensional higher spin algebras using Howe dual variables

Analysis of frame-like and metric-like formulations of the theory

Identification of finite-dimensional truncations of the algebra

Abstract

Two-dimensional BF theory with infinitely many higher spin fields is proposed. It is interpreted as the AdS(2) higher spin gravity model describing a consistent interaction between local fields in AdS(2) space including gravitational field, higher spin partially-massless fields, and dilaton fields. We carry out analysis of the frame-like and the metric-like formulation of the theory. Infinite-dimensional higher spin global algebras and their finite-dimensional truncations are realized in terms of o(2,1) - sp(2) Howe dual auxiliary variables.