The product of two N = 8 supersingletons yields an infinite tower of massless states of higher spin in four dimensional anti de Sitter space. All the states with spin s ≥ 1 correspond to generators of Vasiliev's super higher spin algebra shsE(8\4) which contains the D = 4, N = 8 anti de Sitter superalgebra OSp(8\4). Gauging the higher spin algebra and introducing a matter multiplet in a quasi-adjoint representation leads to a consistent and fully nonlinear equations of motion as shown sometime ago by Vasiliev. We show the embedding of the N = 8 AdS supergravity equations of motion in the full system at the linearized level and discuss the implications for the embedding of the interacting theory. We furthermore speculate that the boundary N = 8 singleton field theory yields the dynamics of the N = 8 AdS supergravity in the bulk, including all higher spin massless fields, in an unbroken phase of M-theory.
Áreas temáticas de ASJC Scopus
- Física nuclear y de alta energía