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arXiv:2403.18428·v2·Mathematical Physics

Fermion integrals for finite spectral triples

John W. Barrett

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Abstract

Fermion functional integrals are calculated for the Dirac operator of a finite real spectral triple. Complex, real and chiral functional integrals are considered for each KO-dimension where they are non-trivial, and phase ambiguities in the definition are noted.

Comments: Approx 9 pages; v2: corrections and improvements, additional references

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