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Noncommutative gauge theories with Endomorphism algebras

Emmanuel Sérié
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Abstract

We formulate a Yang-Mills action principle for noncommutative connections on an endomorphism algebra of a vector bundle. It is shown that there is an influence of the topology of the vector bundle onto the structure of the vacuums of the theory in a non common way. This model displays a new kind of symmetry breaking mechanism. Some mathematical tools are developed in relation with endomorphism algebras and a new approach of the usual Chern-Weil homomorphism in topology is given.

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Emmanuel Sérié. 2006-08-16. Noncommutative gauge theories with Endomorphism algebras. https://arxiv.org/abs/math-ph/0607061

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