Supersymmetric boundaries of one-dimensional phases of fermions beyond SPTs

Authors:
Preprint
Publisher website
Google Scholar
Abstract
It has recently been demonstrated that protected supersymmetry emerges on the boundaries of one-dimensional intrinsically fermionic symmetry protected trivial (SPT) phases. Here we investigate the case of one-dimensional fermionic short-range entangled (SRE) phases beyond SPT phases. We study two distinct notions of supersymmetry relevant to topological phases: an algebra of supercharges and parity-odd symmetries. Using the connection between Majorana edge modes and real supercharges, we compute, in terms of the bulk SRE phase invariants, the number of protected boundary supercharges. We also study the emergence of parity-odd symmetries on the boundaries of SRE phases and discuss whether this feature is protected.

This publication has 18 references indexed in Scilit: