Gauge Theories on Open Lie Algebra Non-Commutative Spaces

Physics – High Energy Physics – High Energy Physics - Theory

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11 pages, no figures, Some comments and references added

Scientific paper

10.1142/S0217732303009587

It is shown that non-commutative spaces, which are quotients of associative
algebras by ideals generated by non-linear relations of a particular type,
admit extremely simple formulae for deformed or star products. Explicit
construction of these star products is carried out. Quantum gauge theories are
formulated on these spaces, and the Seiberg-Witten map is worked out in detail.

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