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arXiv · 1501.00634

Supersymmetry: Boundary Conditions and Edge States

Nirmalendu Acharyya·Manuel Asorey·A. P. Balachandran·Sachindeo Vaidya
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Abstract

When spatial boundaries are inserted, SUSY can be broken. We show that in an $\mathcal{N}=2$ supersymmetric theory, all the boundary conditions allowed by self-adjointness of the Hamiltonian break $\mathcal{N}=2$ SUSY while only a few of these boundary conditions preserve $\mathcal{N}=1$ SUSY. We also show that for a subset of the boundary conditions compatible with $\mathcal{N}=1$ SUSY, there exist fermionic ground states which are localized near the boundary.

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Nirmalendu Acharyya, Manuel Asorey, A. P. Balachandran, Sachindeo Vaidya. 2015-05-25. Supersymmetry: Boundary Conditions and Edge States. https://doi.org/10.1103/physrevd.92.105016

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