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On a Classification of Irreducible Almost Commutative Geometries

High Energy Physics - Theory 2009-11-10 v1

Abstract

We classify all irreducible, almost commutative geometries whose spectral action is dynamically non-degenerate. Heavy use is made of Krajewski's diagrammatic language. The motivation for our definition of dynamical non-degeneracy stems from particle physics where the fermion masses are non-degenerate.

Keywords

Cite

@article{arxiv.hep-th/0312276,
  title  = {On a Classification of Irreducible Almost Commutative Geometries},
  author = {Bruno Iochum and Thomas Schucker and Christoph Stephan},
  journal= {arXiv preprint arXiv:hep-th/0312276},
  year   = {2009}
}

Comments

47 pages, 9 figures