Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation

A. Tureanu; G. Zet; M. Chaichian

Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation

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arxiv hep-th/0607179 v4 pith:EV54E7CG submitted 2006-07-24 hep-th math-phmath.MP

M. Chaichian , A. Tureanu , G. Zet This is my paper · ORCID

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keywords symmetrygaugenoncommutativetwistanalysisansatzcannotcase

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Based on the analysis of the most natural and general ansatz, we conclude that the concept of twist symmetry, originally obtained for the noncommutative space-time, cannot be extended to include internal gauge symmetry. The case is reminiscent of the Coleman-Mandula theorem. Invoking the supersymmetry may reverse the situation.

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