doi:10.1103/PhysRevD.92.105016engAcharyya, N.Asorey, M.Balachandran, A.P.Vaidya, S.Supersymmetry: Boundary conditions and edge statesART-2015-93119When spatial boundaries are inserted, supersymmetry (SUSY) can be broken. We have shown that in an N=2 supersymmetric theory, all local boundary conditions allowed by self-adjointness of the Hamiltonian break N=2 SUSY, while only a few of these boundary conditions preserve N=1 SUSY. We have also shown that for a subset of the boundary conditions compatible with N=1 SUSY, there exist fermionic ground states which are localized near the boundary. We also show that only very few nonlocal boundary conditions like periodic boundary conditions preserve full N=2 supersymmetry, but none of them exhibits edge states.2015http://zaguan.unizar.es/record/4180810.1103/PhysRevD.92.105016http://zaguan.unizar.es/record/41808oai:zaguan.unizar.es:41808info:eu-repo/grantAgreement/ES/MINECO/FPA2012-35453info:eu-repo/grantAgreement/ES/MICINN/CPAN-CSD2007-00042info:eu-repo/grantAgreement/ES/DGA/E24-2PHYSICAL REVIEW. D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY 92, 10 (2015), 105016 [11p]by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess