Twist deformations of the supersymmetric quantum mechanics

• Autorzy: Paulo Castro , Biswajit Chakraborty , Zhanna Kuznetsova , Francesco Toppan
• Języki publikacji: EN

Abstrakty

EN

The $$ \mathcal{N} $$-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 $$ \mathcal{N} $$ one can identify the 1D $$ \mathcal{N} $$-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.

Słowa kluczowe

EN

supersymmetric quantum mechanics; non-commutativity; Drinfeld twist

• Czasopismo: Open Physics
• Rocznik: 2011
• Tom: 9
• Numer: 3
• Strony: 841-851

Daty

wydano

2011-06-01

online

2011-02-26

Twórcy

autor

Paulo Castro

• CBPF, Rua Dr. Xavier Sigaud 150, cep 22290-180, Rio de Janeiro (RJ), Brazil,

autor

Biswajit Chakraborty,

autor

Zhanna Kuznetsova

• UFABC, Rua Catequese 242, Bairro Jardim, cep 09090-400, Santo André (SP), Brazil,

autor

Francesco Toppan

• CBPF, Rua Dr. Xavier Sigaud 150, cep 22290-180, Rio de Janeiro (RJ), Brazil,

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Identyfikatory

DOI

10.2478/s11534-010-0078-9