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

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.

arXiv comment51 pages; v2: comments and refs added, typos removed, JHEP version

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• A line of CFTs: from generalized free fields to SYK
• Towards a bulk description of higher spin SYK
• Partially-massless higher-spin algebras and their finite-dimensional truncations
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
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• Uniformizing higher-spin equations
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• On BF-type higher-spin actions in two dimensions
• Higher spin JT gravity and a matrix model dual
• Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras
• Schwarzian for colored Jackiw-Teitelboim gravity
• Color decorations of Jackiw-Teitelboim gravity