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Supersymmetry: Boundary conditions and edge states

Acharyya, Nirmalendu and Asorey, Manuel and Balachandran, AP and Vaidya, Sachindeo (2015) Supersymmetry: Boundary conditions and edge states. In: PHYSICAL REVIEW D, 92 (10).

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Official URL: http://dx.doi.org/10.1103/PhysRevD.92.105016

Abstract

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.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 10 Dec 2015 05:58
Last Modified: 10 Dec 2015 05:58
URI: http://eprints.iisc.ac.in/id/eprint/52871

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