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arXiv · 0906.4055

Hidden superconformal symmetry of spinless Aharonov-Bohm system

Francisco Correa·Horacio Falomir·Vit Jakubsky·Mikhail S. Plyushchay
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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.

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Francisco Correa, Horacio Falomir, Vit Jakubsky, Mikhail S. Plyushchay. 2009-06-22. Hidden superconformal symmetry of spinless Aharonov-Bohm system. https://doi.org/10.1088/1751-8113/43/7/075202

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