Off-shell Formulation of Higher-Spin Gravity Part II: BRST-BV Action
Abstract:
We provide Vasiliev's four-dimensional higher-spin gravity with a Batalin-Vilkovisky
master action following the Alexandrov-Kontsevich-Schwarz-Zaboronsky approach to off-shell
formulations of differential algebras. In particular, we pay attention to requirements for
globally-defined formulations on manifolds with boundaries and non-trivial atlases. We also
comment on deformations of the bulk action by various boundary terms and the prospects of solving
the full quantum master equation.
Talk based on collaboration with N. Boulanger and N. Colombo (to appear soon).