Abstract
Gauge fields models with quantum groups playing the role of gauge groups are discussed. An appropriate description of the quantum group SU q(2) is presented. The exponential map for this quantum group is constructed and it is shown that it can be parametrized by elements of quantum superplane. Some applications including quantum group chiral fields are briefly considered. In particular, a solution of the SU q(2) WZNW model is presented and an infinite number of conserved currents for the 2-dimensional quantum group chiral field is constructed.
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