PIRSA:15050037

Defects and degeneracies in supersymmetry protected phases

Schoutens, K. (2015). Defects and degeneracies in supersymmetry protected phases. Perimeter Institute. https://pirsa.org/15050037

Schoutens, Kareljan. Defects and degeneracies in supersymmetry protected phases. Perimeter Institute, May. 19, 2015, https://pirsa.org/15050037 

          @misc{ pirsa_PIRSA:15050037,
            doi = {10.48660/15050037},
            url = {https://pirsa.org/15050037},
            author = {Schoutens, Kareljan},
            keywords = {Condensed Matter},
            language = {en},
            title = {Defects and degeneracies in supersymmetry protected phases},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {may},
            note = {PIRSA:15050037 see, \url{https://pirsa.org}}
          }

Kareljan Schoutens Universiteit van Amsterdam

DOI 10.48660/15050037
Collection
Talk Type Scientific Series
Subject

Abstract

We analyse a class of 1D lattice models, known as M_k models, which are characterised by an order-k clustering of spin-less fermions and by N=2 lattice supersymmetry. We show a fundamental connection to Z_k parafermions and identify a class of (bulk or edge) defects, which are in one-to-one correspondence with so-called spin fields in the parafermion CFT. In the gapped regime, injecting such defects leads to ground state degeneracies that are protected by the supersymmetry. The defects, which are closely analogous to quasi-holes over the fermonic Read-Rezayi quantum Hall states, display characteristic fusion rules, which are of Ising type for k=2 and of Fibonacci type for k=3.