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The Quantum Deformed Dirac Equation from the k-Poincare` Algebra

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arxiv hep-th/9212065 v1 pith:K2BC2OKX submitted 1992-12-10 hep-th

Anatol Nowicki , Emanuele Sorace , Marco Tarlini This is my paper · ORCID
classification hep-th
keywords algebrak-poincaredeformeddiracequationquantumcasimircontraction
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In this letter we derive a deformed Dirac equation invariant under the k-Poincare` quantum algebra. A peculiar feature is that the square of the k-Dirac operator is related to the second Casimir (the k-deformed squared Pauli-Lubanski vector). The ``spinorial'' realization of the k-Poincare` is obtained by a contraction of the coproduct of the real form of SO_q(3,2) using the 4-dimensional representation which results to be, up some scalar factors, the same of the undeformed algebra in terms of the usual gamma matrices.

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    Charged massless fermion quasinormal modes in a noncommutatively deformed Reissner-Nordström black hole show a linear, azimuthal-quantum-number-dependent splitting of the complex mode frequencies.

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