Hidden superconformal symmetry of spinless Aharonov-Bohm system
Francisco Correa, Horacio Falomir, Vit Jakubsky, Mikhail S. Plyushchay
TL;DR
This paper uncovers a hidden superconformal symmetry in the spinless Aharonov-Bohm system, linking supersymmetry with scale invariance and analyzing its implications for self-adjoint extensions and anyon interactions.
Contribution
It reveals a bosonized superconformal symmetry in the Aharonov-Bohm problem and explores its role in different extensions and scattering processes.
Findings
Identification of superconformal symmetry in the system
Relation between supersymmetry and scale invariance
Insights into self-adjoint extensions and anyon interactions
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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