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

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arxiv 2102.10860 v2 pith:MPF7NJ6Q submitted 2021-02-22 hep-th math-phmath.MP

Philippe Mathieu , Jean-Christophe Wallet This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords brstgaugesymmetrytwistedkappaalgebraassociatedminkowski
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abstract

Algebraic properties of the BRST symmetry associated to the twisted gauge symmetry occurring in the $\kappa$-Poincar\'e 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.

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Cited by 1 Pith paper

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  1. Charged Particle in Lie-Poisson Electrodynamics

    hep-th 2024-12 conditional novelty 6.0 of 10

    Charged-particle mechanics in Lie-Poisson electrodynamics is formulated with explicit gauge-invariant coordinates and action, and exact solutions are worked out for the λ-Minkowski and other cases.

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