Non-Abelian Gauge Theory on q-Quantum Spaces

Details Non-Abelian Gauge Theory on q-Quantum Spaces Non-Abelian Gauge Theory on q-Quantum Spaces

2002-08-23

arxiv.org/abs/hep-th/0208173v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Latex

Scientific paper

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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