Spin group and almost commutative geometry

Thomas Schucker

Spin group and almost commutative geometry

高能物理 - 理论 2007-05-23 v1 广义相对论与量子宇宙学

作者: Thomas Schucker

摘要

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 $SU(2)\times U(3)/\zz_2.$

关键词

spin chains higher spin theory moduli spaces

引用

@article{arxiv.hep-th/0007047,
  title  = {Spin group and almost commutative geometry},
  author = {Thomas Schucker},
  journal= {arXiv preprint arXiv:hep-th/0007047},
  year   = {2007}
}

备注

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

Spin group and almost commutative geometry

摘要

关键词

引用

备注

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