Hidden superconformal symmetry of spinless Aharonov-Bohm system

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.

25 pages, published version

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• Analogue Aharonov-Bohm effect in a Lorentz-violating background
• The origin of the hidden supersymmetry
• The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
• Noncommutative analogue Aharonov-Bohm effect and superresonance
• Landau levels, self-adjoint extensions and Hall conductivity on a cone
• Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
• Supersymmetric Descendants of Self-Adjointly Extended Quantum Mechanical Hamiltonians
• Nonlinear supersymmetry as a hidden symmetry
• Rotational Symmetry of Classical Orbits, Arbitrary Quantization of Angular Momentum and the Role of Gauge Field in Two-Dimensional Space
• Conformal bridge transformation, $\mathcal{P}\mathcal{T}$- and super- symmetry