In most of the contexts I've seen, Bott periodicity refers to the periodicity of the homotopy groups of the manifolds of classical groups. However, recently I have heard of some physicist speaking of "Bott periodicity" as a periodicity in the reality properties of Dirac matrices, as summarized in Table 3 (page 8) in this document. However, it's not clear to me how the two kinds of periodicity are related. I'm looking for some explanations for this.
2026-03-27 16:12:31.1774627951
Bott periodicity for Dirac matrices?
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