Flatspace Chiral Supergravity

TL;DR

This paper establishes a holographic duality between a 2D chiral superconformal field theory and a 3D supergravity theory with flatspace boundary conditions, revealing symmetry reductions in the duality.

Contribution

It introduces a new duality linking flatspace supergravity with chiral superconformal field theories, including a detailed analysis of symmetry reductions.

Findings

Asymptotic symmetries reduce from Super BMS to Super-Virasoro algebra.

Reproduction of symmetry reduction through null vector analysis in dual field theory.

Proposal of a flatspace holographic duality involving chiral supergravity and superconformal field theory.

Abstract

We propose a holographic duality between a 2 dimensional (2d) chiral superconformal field theory and a certain theory of supergravity in 3d with flatspace boundary conditions that is obtained as a double scaling limit of a parity breaking theory of supergravity. We show how the asymptotic symmetries of the bulk theory reduce from the "despotic" Super Bondi-Metzner-Sachs algebra (or equivalently the Inhomogeneous Super Galilean Conformal Algebra) to a single copy of the Super-Virasoro algebra in this limit and also reproduce the same reduction from a study of null vectors in the putative 2d dual field theory.