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

Abstract

Abstract Maximally N $$ \mathcal{N} $$ extended 2 + 1 dimensional flat supergravity theories exist for a class of super-Poincaré algebras for arbitrary N $$ \mathcal{N} $$ . 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( N $$ \mathcal{N} $$ |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.

Keywords

• Effective Field Theories
• Quantum Groups
• Sigma Models
• Space-Time Symmetries