Twisted BRST symmetry in gauge theories on $\kappa$-Minkowski

Abstract

Algebraic properties of the BRST symmetry associated to the twisted gauge symmetry occurring in the $\kappa$-Poincaré invariant gauge theories on the $\kappa$-Minkowski space are investigated. We find that the BRST operation associated to the gauge invariance of the action functional can be continuously deformed together with its corresponding Leibniz rule, into a nilpotent twisted BRST operation, leading to a twisted BRST symmetry algebra which may be viewed as a noncommutative analog of the usual Yang-Mills BRST algebra.

21 pages. Two references added. To appear in Phys. Rev. D

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• Noncommutative Induced Gauge Theory
• Induced Gauge Theory on a Noncommutative Space
• Gauge theories on the kappa-Minkowski spacetime
• Emergent Gravity, Matrix Models and UV/IR Mixing
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Cited by in corpus (7)

• Gauge theories on quantum spaces
• Geometrizing the Klein-Gordon and Dirac equations in Doubly Special Relativity
• Lie-Poisson gauge theories and $\kappa$-Minkowski electrodynamics
• Quantum instability of gauge theories on $\kappa$-Minkowski space
• Poisson electrodynamics on $\kappa$-Minkowski space-time
• Light Propagation in $\kappa$-Minkowski Space-Time: Gauge Ambiguities and Invariance
• Star-products for Lie-algebraic noncommutative Minkowski space-times