3D bulk field theories for 2D non-unitary N=1 supersymmetric minimal models

TL;DR

This paper introduces 3D bulk superconformal field theories that correspond to 2D non-unitary N=1 supersymmetric minimal models, establishing a new bulk-boundary relationship in non-unitary settings.

Contribution

It proposes a novel class of 3D N=4 rank-0 superconformal theories linked to 2D N=1 models through a non-unitary bulk-boundary correspondence.

Findings

Established the bulk-boundary correspondence for non-unitary models

Demonstrated the boundary rational chiral algebra from a topologically twisted theory

Validated the correspondence through detailed dictionary checks

Abstract

We propose bulk 3D N=4 rank-0 superconformal field theories, which are related to 2D N=1 supersymmetric minimal models, SM(2, ...) and SM(3, ...), via recently discovered non-unitary bulk-boundary correspondence. The correspondence relates a 3D N=4 rank-0 superconformal field theory to 2D chiral rational conformal field theories. A topologically twisted theory of the rank-0 SCFT supports the rational chiral algebra at the boundary upon a proper choice of boundary condition. We test the proposal by checking several non-trivial dictionaries of the correspondence.