Twisted Gauge Theories

@article{Aschieri2006TwistedGT,
  title={Twisted Gauge Theories},
  author={Paolo Aschieri and Marija Dimitrijevi{\'c} and Frank Meyer and Stefan Schraml and Julius Wess},
  journal={Letters in Mathematical Physics},
  year={2006},
  volume={78},
  pages={61-71}
}
Gauge theories on a space-time that is deformed by the Moyal–Weyl product are constructed by twisting the coproduct for gauge transformations. This way a deformed Leibniz rule is obtained, which is used to construct gauge invariant quantities. The connection will be enveloping algebra valued in a particular representation of the Lie algebra. This gives rise to additional fields, which couple only weakly via the deformation parameter θ and reduce in the commutative limit to free fields… 

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