The particle interpretation of N = 1 supersymmetric spin foams

TL;DR

This paper demonstrates how N=1 supersymmetric BF theory in 3D can be discretized into a spin foam model, which can be interpreted as 3D gravity coupled with fermionic diagrams, linking supersymmetry and quantum gravity.

Contribution

It introduces a supersymmetric spin foam construction from N=1 BF theory and interprets quantum amplitudes as gravity coupled with fermions.

Findings

Supersymmetric spin foam amplitude derived from N=1 BF theory.

Quantum amplitudes reinterpreted as 3D gravity with embedded fermionic diagrams.

Establishes a connection between supersymmetry and quantum gravity models.

Abstract

We show that N = 1 supersymmetric BF theory in 3d leads to a supersymmetric spin foam amplitude via a lattice discretisation. Furthermore, by analysing the supersymmetric quantum amplitudes, we show that they can be re-interpreted as 3d gravity coupled to embedded fermionic Feynman diagrams.