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Noncommutative gauge theories with Endomorphism algebras

Mathematical Physics 2016-08-16 v2 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0607061,
  title  = {Noncommutative gauge theories with Endomorphism algebras},
  author = {Emmanuel Sérié},
  journal= {arXiv preprint arXiv:math-ph/0607061},
  year   = {2016}
}

Comments

27 Pages

R2 v1 2026-07-22T16:28:07.718Z