Is chiral supersymmetry emanant or emergent?

TL;DR

This paper investigates whether chiral supersymmetry in a fermionic chain model is emergent or emanant, revealing extra low-energy modes due to spontaneous breaking of emergent chiral supersymmetry, which becomes emanant in the non-interacting limit.

Contribution

It demonstrates that chiral supersymmetry can be an emanant symmetry in the non-interacting limit and explains the origin of additional low-energy degrees of freedom.

Findings

Extra low-energy modes due to spontaneous breaking of emergent chiral supersymmetry

Chiral supersymmetry becomes emanant in the non-interacting limit

Counting rule for Nambu-Goldstone modes does not apply here

Abstract

The extended Majorana Nicolai model is one of the simplest models of supersymmetry realized on a fermionic chain in $1+1$ dimensions. Within a certain parameter region, the extended theory breaks the supersymmetry spontaneously, but it has a distinguished feature that the general counting rule of the Nambu-Goldstone mode does not apply: we observe twice as many low-energy degrees of freedom than the broken lattice symmetry. We argue that the extra degrees of freedom originate from the spontaneous breaking of the emergent chiral supersymmetry. This chiral supersymmetry becomes an emanant symmetry in the non-interacting limit.