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Search for minimal quantum group SUq(2) gauge field theory
Authors:I Ya Aref'evaG E Arutyunov
Institution:

Steklov Mathematical Institute, Vavilov 42, GSP-1, 117966, Moscow, Russian Federation

Moscow State University, Moscow, Russian Federation

Abstract:Different possibilities for the introduction of quantum group gauge fields are discussed. The case of the quantum group SUq(2) is considered in more detail. We seek for a construction of the quantum group gauge fields which possesses a minimal set of usual c-number fields. It turns out that in this construction the components of the quantum group gauge field take values in the quantum Euclidean space.
Keywords:quantum groups  gauge field theory
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