# 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…

## 90 Citations

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