Gauge theories on the kappa-Minkowski spacetime

Abstract

This study of gauge field theories on kappa-deformed Minkowski spacetime extends previous work on field theories on this example of a noncommutative spacetime. We construct deformed gauge theories for arbitrary compact Lie groups using the concept of enveloping algebra-valued gauge transformations and the Seiberg-Witten formalism. Derivative-valued gauge fields lead to field strength tensors as the sum of curvature- and torsion-like terms. We construct the Lagrangians explicitly to first order in the deformation parameter. This is the first example of a gauge theory that possesses a deformed Lorentz covariance.

17 pages, few minor revisions

Cited by in corpus (25)

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• $L_{\infty }$-Bootstrap Approach to Non-Commutative Gauge Theories
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• Twisted BRST symmetry in gauge theories on $\kappa$-Minkowski
• Lie-Poisson gauge theories and $\kappa$-Minkowski electrodynamics
• q-Quaternions and q-deformed su(2) instantons
• $\kappa$-deformed power spectrum and modified Unruh temperature
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• Gauge theory models on $\kappa$-Minkowski space: Results and prospects