q-deformed Lorentz-algebra in Minkowski phase space

q-deformed Lorentz-algebra in Minkowski phase space

In the present paper we show that the Lorentz algebra \(\cal L\) as defined in [5] is isomorphic to an algebra \(\hat{\cal U}\) closely related to a q-deformed \(SU_q(2) \otimes SU_q(2)\) algebra. On this algebra \(\hat{\cal U}\) we define a Hopf algebra structure and show its action on q-spinor mod...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 1999-02, Vol.7 (1), p.177-183
Hauptverfasser: Rohregger, M., Wess, J.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Deformation
Minkowski space
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Zusammenfassung:In the present paper we show that the Lorentz algebra \(\cal L\) as defined in [5] is isomorphic to an algebra \(\hat{\cal U}\) closely related to a q-deformed \(SU_q(2) \otimes SU_q(2)\) algebra. On this algebra \(\hat{\cal U}\) we define a Hopf algebra structure and show its action on q-spinor modules. This algebra is related to the q-deformed Minkowski space algebra by a non invertible factorisation.
ISSN:1434-6044
1434-6052
DOI:10.1007/s100529800960