Twist Deformations of the Supersymmetric Quantum Mechanics

Details Twist Deformations of the Supersymmetric Quantum Mechanics Twist Deformations of the Supersymmetric Quantum Mechanics

2009-12-03

arxiv.org/abs/0912.0704v2

Central Eur.J.Phys.9:841-851,2011

Physics

High Energy Physics

High Energy Physics - Theory

18 pages; two references added

Scientific paper

10.2478/s11534-010-0078-9

The N-extended Supersymmetric Quantum Mechanics is deformed via an abelian twist which preserves the super-Hopf algebra structure of its Universal Enveloping Superalgebra. Two constructions are possible. For even N one can identify the 1D N-extended superalgebra with the fermionic Heisenberg algebra. Alternatively, supersymmetry generators can be realized as operators belonging to the Universal Enveloping Superalgebra of one bosonic and several fermionic oscillators. The deformed system is described in terms of twisted operators satisfying twist-deformed (anti)commutators. The main differences between an abelian twist defined in terms of fermionic operators and an abelian twist defined in terms of bosonic operators are discussed.

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