Boundary supersymmetry of 1+1 d fermionic SPT phases
- URL: http://arxiv.org/abs/2011.12320v3
- Date: Tue, 15 Jun 2021 02:34:19 GMT
- Title: Boundary supersymmetry of 1+1 d fermionic SPT phases
- Authors: Abhishodh Prakash, Juven Wang
- Abstract summary: We prove that the boundaries of all non-trivial 1+1 dimensional intrinsically fermionic symmetry-protected-topological phases are supersymmetric quantum mechanical systems.
This supersymmetry does not require any fine-tuning of the underlying Hamiltonian.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We prove that the boundaries of all non-trivial 1+1 dimensional intrinsically
fermionic symmetry-protected-topological phases, protected by finite on-site
symmetries (unitary or anti-unitary), are supersymmetric quantum mechanical
systems. This supersymmetry does not require any fine-tuning of the underlying
Hamiltonian, arises entirely as a consequence of the boundary 't Hooft anomaly
that classifies the phase and is related to a `Bose-Fermi' degeneracy different
in nature from other well known degeneracies such as Kramers doublets.
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