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Number of results

Journal

2011 | 9 | 3 | 841-851

Article title

Twist deformations of the supersymmetric quantum mechanics

Content

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Languages of publication

EN

Abstracts

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.

Publisher

Journal

Year

Volume

9

Issue

3

Pages

841-851

Physical description

Dates

published
1 - 6 - 2011
online
26 - 2 - 2011

Contributors

author
  • CBPF, Rua Dr. Xavier Sigaud 150, cep 22290-180, Rio de Janeiro (RJ), Brazil
  • UFABC, Rua Catequese 242, Bairro Jardim, cep 09090-400, Santo André (SP), Brazil
  • CBPF, Rua Dr. Xavier Sigaud 150, cep 22290-180, Rio de Janeiro (RJ), Brazil

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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-010-0078-9
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