Hidden superconformal symmetry of spinless Aharonov-Bohm system

Details Hidden superconformal symmetry of spinless Aharonov-Bohm system Hidden superconformal symmetry of spinless Aharonov-Bohm system

2009-06-22

arxiv.org/abs/0906.4055v4

J.Phys.A43:075202,2010

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, published version

Scientific paper

10.1088/1751-8113/43/7/075202

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.

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