Dual Theory for maximally $\mathcal{N}$ extended flat Supergravity

Abstract

Maximally $\mathcal{N}$ extended $2+1$ dimensional flat Supergravity theories exist for a class of super-Poincaré algebras for arbitrary $\mathcal{N}$. 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 $Osp(\mathcal{N}|2;R)$, 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.

23 pages, typos corrected, 2 references added, some explanation included

References in corpus (5)

• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• Three-dimensional supergravity reloaded
• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
• Liouville theory beyond the cosmological horizon
• N=4 Supersymmetric BMS3 algebras from asymptotic symmetry analysis

Cited by in corpus (3)

• Nonlinear automorphism of the conformal algebra in 2D and continuous $\sqrt{T\bar{T}}$ deformations
• JT gravity from holographic reduction of 3D asymptotically flat spacetime
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields