Local symmetries and extensive ground-state degeneracy of a 1D supersymmetric fermionic chain

Shuyu Zhang, Hiroki Sukeno, Kazuki Ikeda +1

We study a $1$D supersymmetric (SUSY) hard-core fermion model first proposed by Fendley, Schoutens, and de Boer [Phys. Rev. Lett. 90, 120402 (2003)]. We focus on the full Hilbert s…