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Open Access Publications from the University of California

Non-Abelian gauge theory on q-Quantum spaces


Gauge theories on q-deformed spaces are constructed using covariant derivatives. For this purpose a "vielbein" is introduced, which transforms under gauge transformations. The non-Abelian case is treated by establishing a connection to gauge theories on commutative spaces, i.e. by a Seiberg-Witten map. As an example we consider the Manin plane. Remarks are made concerning the relation between covariant coordinates and covariant derivatives.

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