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arXiv · 1411.5641

Twisted Fermionic Oscillator Algebra in $\kappa$-Minkowski space-time

Ravikant Verma
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Abstract

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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Ravikant Verma. 2014-11-05. Twisted Fermionic Oscillator Algebra in $\kappa$-Minkowski space-time. https://doi.org/10.1140/epjp/i2015-15079-3

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