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Nonlinear holomorphic supersymmetry, Dolan-Grady relations and Onsager algebra
Sergey M. Klishevich, Mikhail S. Plyushchay
Recently, it was noticed by us that the nonlinear holomorphic supersymmetry of order , (-HSUSY) has an algebraic origin. We show that the Onsager algebra underlies…
Nonlinear Supersymmetry
Sergey M. Klishevich, Mikhail S. Plyushchay
After a short discussion of the intimate relation between the generalized statistics and supersymmetry, we review the recent results on the nonlinear supersymmetry obtained in the…
Nonlinear supersymmetry on the plane in magnetic field and quasi-exactly solvable systems
Sergey M. Klishevich, Mikhail S. Plyushchay
The nonlinear -supersymmetry with holomorphic supercharges is investigated for the 2D system describing the motion of a charged spin-1/2 particle in an external magnetic field.…
Free conical dynamics: charge-monopole as a particle with spin, anyon and nonlinear fermion-monopole supersymmetry
Mikhail S. Plyushchay
We discuss the origin of the effectively free dynamics of the charge in the magnetic monopole field to apply it for finding the alternative treatment of the charge-monopole as a pa…
Fractional helicity, Lorentz symmetry breaking, compactification and anyons
Sergey M. Klishevich, Mikhail S. Plyushchay, Michel Rausch de Traubenberg
We construct the covariant, spinor sets of relativistic wave equations for a massless field on the basis of the two copies of the R-deformed Heisenberg algebra. For the finite-dime…