Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-02-19
Phys.Lett. B307 (1993) 353-361
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, LaTeX, JINR preprint E2-93-54, Dubna (19 February 1993)
Scientific paper
10.1016/0370-2693(93)90232-7
The algebraic formulation of the quantum group gauge models in the framework of the $R$-matrix approach to the theory of quantum groups is given. We consider gauge groups taking values in the quantum groups and noncommutative gauge fields transformed as comodules under the coaction of the gauge quantum group $ G_{q}$. Using this approach we construct the quantum deformations of the topological Chern-Simons models, non-abelian gauge theories and the Einstein gravity. The noncommutative fields in these models generate $ G_{q}$-covariant quantum algebras.
Isaev A. P.
Popowicz Ziemowit
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