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arXiv · hep-th/9904171

Connes-Lott model building on the two-sphere

J. A. Mignaco·C. Sigaud·A. R. da Silva·F. J. Vanhecke
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Abstract

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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J. A. Mignaco, C. Sigaud, A. R. da Silva, F. J. Vanhecke. 1999-04-26. Connes-Lott model building on the two-sphere. https://doi.org/10.1142/s0129055x01000582

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