Gauge theories of quantum groups

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.

12 pages, DFTT-19/92

References in corpus (1)

• Bicovariant Differential Calculus on the Quantum D=2 Poincare Group

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