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arXiv · 2102.10860

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

Philippe Mathieu·Jean-Christophe Wallet
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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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Philippe Mathieu, Jean-Christophe Wallet. 2021-02-22. Twisted BRST symmetry in gauge theories on $\kappa$-Minkowski. https://doi.org/10.1103/physrevd.103.086018

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