Global and local properties of AdS ^sub 2^ higher spin gravity

Abstract Two-dimensional BF theory with infinitely many higher spin fields is proposed. It is interpreted as the AdS ^sub 2^ higher spin gravity model describing a consistent interaction between local fields in AdS ^sub 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.