Supersymmetry: Boundary Conditions and Edge States

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.

Section 2 rewritten; Equations corrected; Results unchanged; 15 pages

References in corpus (5)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Casimir Effect and Global Theory of Boundary Conditions
• Vacuum Boundary Effects
• Kaluza-Klein Induced Supersymmetry Breaking for Braneworlds in Type IIB Supergravity
• Boundary Effects in Bosonic and Fermionic Field Theories

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• Edge states and anomalous SUSY in (2+1)-dimensional Maxwell Chern-Simons theory