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New realizations of Lie algebra kappa-deformed Euclidean space

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arxiv hep-th/0605133 v2 pith:J5EKH2JJ submitted 2006-05-13 hep-th

Stjepan Meljanac , Marko Stojic This is my paper · ORCID
classification hep-th
keywords algebradeformedspacecommutingconstructedcorrespondingeuclideankappa
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abstract

We study Lie algebra $\kappa$-deformed Euclidean space with undeformed rotation algebra $SO_a(n)$ and commuting vectorlike derivatives. Infinitely many realizations in terms of commuting coordinates are constructed and a corresponding star product is found for each of them. The $\kappa$-deformed noncommutative space of the Lie algebra type with undeformed Poincar{\'e} algebra and with the corresponding deformed coalgebra is constructed in a unified way.

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  1. Yang-Mills Field in the $\kappa$-space-time

    hep-th 2024-11 conditional novelty 6.0 of 10

    A first-order SU(N) Yang-Mills theory on κ-deformed spacetime is constructed, with field strengths rescaled by probe-energy-dependent factors and an SU(N)-invariant Lagrangian.

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