000041808 001__ 41808 000041808 005__ 20170504090233.0 000041808 0247_ $$2doi$$a10.1103/PhysRevD.92.105016 000041808 0248_ $$2sideral$$a93119 000041808 037__ $$aART-2015-93119 000041808 041__ $$aeng 000041808 100__ $$aAcharyya, N. 000041808 245__ $$aSupersymmetry: Boundary conditions and edge states 000041808 260__ $$c2015 000041808 5060_ $$aAccess copy available to the general public$$fUnrestricted 000041808 5203_ $$aWhen 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. 000041808 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/FPA2012-35453$$9info:eu-repo/grantAgreement/ES/MICINN/CPAN-CSD2007-00042$$9info:eu-repo/grantAgreement/ES/DGA/E24-2 000041808 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000041808 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000041808 700__ $$0(orcid)0000-0003-3669-6241$$aAsorey, M.$$uUniversidad de Zaragoza 000041808 700__ $$aBalachandran, A.P. 000041808 700__ $$aVaidya, S. 000041808 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDepartamento de Física Teórica$$cFísica Teórica 000041808 773__ $$g92, 10 (2015), 105016 [11p]$$pPhys. rev., D Part. fields gravit. cosmol.$$tPHYSICAL REVIEW. D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY$$x1550-7998 000041808 8564_ $$s184942$$uhttps://zaguan.unizar.es/record/41808/files/texto_completo.pdf$$yVersión publicada 000041808 8564_ $$s120657$$uhttps://zaguan.unizar.es/record/41808/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000041808 909CO $$ooai:zaguan.unizar.es:41808$$particulos$$pdriver 000041808 951__ $$a2017-05-04-09:00:13 000041808 980__ $$aARTICLE