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arXiv · hep-th/9205103

Gauge theories of quantum groups

Leonardo Castellani
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Abstract

We find two different q-generalizations of Yang-Mills theories. The corresponding lagrangians are invariant under the q-analogue of infinitesimal gauge transformations. We explicitly give the lagrangian and the transformation rules for the bicovariant q-deformation of $SU(2) \times U(1)$. The gauge potentials satisfy q-commutations, as one expects from the differential geometry of quantum groups. However, in one of the two schemes we present, the field strengths do commute.

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Leonardo Castellani. 1992-05-28. Gauge theories of quantum groups. https://doi.org/10.1016/0370-2693(92)90613-9

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