Connes-Lott model building on the two-sphere

Details Connes-Lott model building on the two-sphere Connes-Lott model building on the two-sphere

1999-04-26

arxiv.org/abs/hep-th/9904171v1

Rev.Math.Phys. 13 (2001) 1-28

Physics

High Energy Physics

High Energy Physics - Theory

57 pages, LATEX

Scientific paper

In this work we examine generalized Connes-Lott models on the two-sphere. The Hilbert space of the continuum spectral triple is taken as the space of sections of a twisted spinor bundle, allowing for nontrivial topological structure (magnetic monopoles). The finitely generated projective module over the full algebra is also taken as topologically non-trivial, which is possible over $S^2$. We also construct a real spectral triple enlarging this Hilbert space to include "particle" and "anti-particle" fields.

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