Loop Quantization of the Supersymmetric Two-Dimensional BF Model

TL;DR

This paper develops a loop quantum gravity approach to quantize a supersymmetric two-dimensional BF model coupled with topological matter, using superfields and canonical analysis.

Contribution

It introduces a novel loop quantum gravity quantization of a super-BF model with supersymmetry and topological matter in two dimensions.

Findings

Constructed the Hilbert space for the super-BF model.

Implemented quantum constraints within the loop quantum gravity framework.

Extended loop quantization methods to supersymmetric topological field theories.

Abstract

In this paper we consider the quantization of the 2d BF model coupled to topological matter. Guided by the rigid supersymmetry this system can be viewed as a super-BF model, where the field content is expressed in terms of superfields. A canonical analysis is done and the constraints are then implemented at the quantum level in order to construct the Hilbert space of the theory under the perspective of Loop Quantum Gravity methods.