172 citations · 3.5k across the 115 of their papers we have counts for
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Nonlinear Supersymmetry, Quantum Anomaly and Quasi-Exactly Solvable Systems
Sergey Klishevich, Mikhail Plyushchay
The nonlinear supersymmetry of one-dimensional systems is investigated in the context of the quantum anomaly problem. Any classical supersymmetric system characterized by the nonli…
Deformed Heisenberg Algebra with Reflection, Anyons and Supersymmetry of Parabosons
Mikhail S. Plyushchay
Deformed Heisenberg algebra with reflection appeared in the context of Wigner's generalized quantization schemes underlying the concept of parafields and parastatistics of Green, V…
On the nature of fermion-monopole supersymmetry
Mikhail S. Plyushchay
It is shown that the generator of the nonstandard fermion-monopole supersymmetry uncovered by De Jonghe, Macfarlane, Peeters and van Holten, and the generator of its standard N=1/2…
Monopole Chern-Simons Term: Charge-Monopole System as a Particle with Spin
Mikhail S. Plyushchay
The topological nature of Chern-Simons term describing the interaction of a charge with magnetic monopole is manifested in two ways: it changes the plane dynamical geometry of a fr…
Cubic root of Klein-Gordon equation
Mikhail S. Plyushchay, Michel Rausch de Traubenberg
We construct new relativistic linear differential equation in dimensions generalizing Dirac equation by employing the Clifford algebra of the cubic polynomial associated to Kle…
Bosonized supersymmetric quantum mechanics and supersymmetry of parabosons (parafermions)
Mikhail S. Plyushchay
We review the construction of minimally bosonized supersymmetric quantum mechanics and its relation to hidden supersymmetries in pure parabosonic (parafermionic) systems.