TL;DR
This paper extends the concept of twisting symmetries in noncommutative field theories to gauge transformations, demonstrating that twisted gauge symmetries form a closed algebra for any gauge group and analyzing their invariant actions.
Contribution
It introduces a method to implement twisted gauge symmetries in noncommutative theories, ensuring closure for arbitrary gauge groups and exploring their invariant actions.
Findings
Twisted gauge symmetries close for any gauge group.
Twisted-invariant actions are analyzed in noncommutative theories.
Extension of twisting from spacetime symmetries to gauge transformations.
Abstract
It has been proposed that the Poincare and some other symmetries of noncommutative field theories should be twisted. Here we extend this idea to gauge transformations and find that twisted gauge symmetries close for arbitrary gauge group. We also analyse twisted-invariant actions in noncommutative theories.
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