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Hidden superconformal symmetry of spinless Aharonov-Bohm system

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.

preprint2010arXivOpen access
Francisco CorreaHoracio FalomirVit JakubskyMikhail S. Plyushchay
cond-mat.othermath-phmath.MPhep-thquant-ph
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Francisco CorreaHoracio FalomirVit JakubskyMikhail S. Plyushchay

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