Dual theory for maximally $$ \mathcal{N} $$ extended flat supergravity

Abstract

Abstract Maximally $$ \mathcal{N} $$ N extended 2 + 1 dimensional flat supergravity theories exist for a class of super-Poincaré algebras for arbitrary $$ \mathcal{N} $$ N . They have rich asymptotic structures and contain all interesting topological supergravity solutions in presence of non-trivial holonomy. For the asymptotic symmetry algebra being a suitable flat limit of the superconformal algebra, which is an infinite dimensional extension of two copies of Osp($$ \mathcal{N} $$ N |2; R) group, we have found the 1 + 1 dimensional chiral WZW model as the dual quantum field theory that describes the dynamics of these solutions. In the Hamiltonian analysis, the reduced phase space resembles a flat super Liouville theory.