Observables and boundary conditions in Vasiliev's higher spin gravity
Abstract:
Vasiliev's equations describe interactions of higher-spin gauge fields
around AdS_4 via auxiliary noncommutative coordinates. In this talk we
discuss two aspects of these equations. On the one hand, we use properties
of the equations in the extended space to construct observables. Some of
them are shown to match the cyclic building blocs for correlators of
conserved current in the free U(N). On the other hand, we propose to
reduce the equations to the conventional spacetime to impose
asymptotically locally AdS boundary conditions. We use the proposed
procedure to construct linearised gauge parameters that relate known exact
solutions to free unfolded Fronsdal fields.