Supersymmetry: Boundary conditions and edge states

Acharyya, N. ; Asorey, M. (Universidad de Zaragoza) ; Balachandran, A.P. ; Vaidya, S.

Resumen: When 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.

Idioma: Inglés

DOI: 10.1103/PhysRevD.92.105016

Año: 2015

Publicado en: PHYSICAL REVIEW. D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY 92, 10 (2015), 105016 [11p]
ISSN: 1550-7998

Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-2
Financiación: info:eu-repo/grantAgreement/ES/MICINN/CPAN-CSD2007-00042
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FPA2012-35453

Tipo y forma: Article (Published version)

Área (Departamento): Física Teórica (Departamento de Física Teórica)