Hidden superconformal symmetry of spinless Aharonov-Bohm system
High Energy Physics - Theory
2010-02-05 v4 Other Condensed Matter
Mathematical Physics
math.MP
Quantum Physics
Abstract
A hidden supersymmetry is revealed in the spinless Aharonov-Bohm problem. The intrinsic supersymmetric structure is shown to be intimately related with the scale symmetry. As a result, a bosonized superconformal symmetry is identified in the system. Different self-adjoint extensions of the Aharonov-Bohm problem are studied in the light of this superconformal structure and interacting anyons. Scattering problem of the original Aharonov-Bohm model is discussed in the context of the revealed supersymmetry.
Keywords
Cite
@article{arxiv.0906.4055,
title = {Hidden superconformal symmetry of spinless Aharonov-Bohm system},
author = {Francisco Correa and Horacio Falomir and Vit Jakubsky and Mikhail S. Plyushchay},
journal= {arXiv preprint arXiv:0906.4055},
year = {2010}
}
Comments
25 pages, published version