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arxiv: 1411.5641 · v1 · pith:NXPSBELGnew · submitted 2014-11-05 · ✦ hep-th

Twisted Fermionic Oscillator Algebra in kappa-Minkowski space-time

classification ✦ hep-th
keywords algebrakappadeformeddiracminkowskispace-timetwistedfermionic
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In this paper, we investigate the twisted algebra of the fermionic oscillators associated with Dirac field defined in $\kappa$-Minkowski space-time. Starting from $\kappa$-deformed Dirac theory, which is invariant under the undeformed $\kappa$-Poincare algebra, using the twisted flip operator, we derive the deformed algebra of the creation and annihilation operators corresponding to the Dirac field quanta in $\kappa$-Minkowski space-time. In the limit $a\rightarrow 0$, the deformed algebra reduces to the commutative result.

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