Spin group and almost commutative geometry

Details Spin group and almost commutative geometry Spin group and almost commutative geometry

2000-07-06

arxiv.org/abs/hep-th/0007047v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages LaTeX, 1 figure, this paper will not be submitted to any journal, in particular not to Nucl.Phys.B

Scientific paper

For Connes' spectral triples, the group of automorphisms lifted to the Hilbert space is defined and used to fluctuate the metric. A few commutative examples are presented including Chamseddine and Connes' spectral unification of gravity and electromagnetism. One almost commutative example is treated: the full standard model. Here the lifted automorphisms explain O'Raifeartaigh's reduction $SU(2)\times U(3)/\zz_2.$

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