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math-ph2026
Fuzzy Geometries with an Internal Space
John W. Barrett, Joseph Burridge
The product of a non-commutative matrix spectral triple with a simple two-dimensional internal space is considered. This is interpreted as a non-commutative spacetime that contains…
math-ph2024
Commuting Clifford actions
John W. Barrett
It shown that if a vector space carries commuting actions of two Clifford algebras, then the quadratic monomials using generators from either Clifford algebra determine a spinor re…
math-ph2024
Fermion integrals for finite spectral triples
John W. Barrett
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-dimens…