Twisted Gauge Theories
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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. Consistent field equations that lead to conservation laws are derived and some properties of such theories are discussed.
Keywordsdeformed spaces twisted gauge transformations noncommutative gauge theories
Mathematics Subject Classification81T75 Noncommutative geometry methods 81T13 Yang-Mills and other gauge theories
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- 5.Meyer, F.: Noncommutative spaces and gravity. In: Contribution to the proceedings of the I Modave Summer School in Mathematical Physics, June 2005, Modave, Belgium (2005), LMU-ASC 69/05, MPP-2005-130. hep-th/0510188Google Scholar
- 12.Wess, J.: Deformed coordinate spaces: derivatives. In: Lecture given at the Balkan workshop BW2003, August 2003, Vrnjacka Banja, Serbia. hep-th/0408080Google Scholar
- 16.Vassilevich, D.V.: Twist to close (2006). hep-th/0602185Google Scholar
- 18.Balachandran, A.P., Govindarajan, T.R., Gupta, K.S., Kurkcuoglu, S.: Noncommutative two dimensional gravities (2006). hep-th/0602265Google Scholar
- 19.Chaichian, M., Tureanu, A.: Twist symmetry and gauge invariance (2006). hep-th/0604025Google Scholar