Product of noncommutative spectral triple with 2D internal space yields charged fermion model whose fluctuations produce gauge fields, geometry changes, charge-dependent derivative, and novel induced bosonic terms.
Product of real spectral triples
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abstract
We construct the product of real spectral triples of arbitrary finite dimension (and arbitrary parity) taking into account the fact that in the even case there are two possible real structures, in the odd case there are two inequivalent representations of the gamma matrices (Clifford algebra), and in the even-even case there are two natural candidates for the Dirac operator of the product triple.
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Review of spectral noncommutative geometry applied to the Standard Model, including bosonic and fermionic actions, Euclidean vs Lorentz issues, and going beyond the SM.
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Fuzzy Geometries with an Internal Space
Product of noncommutative spectral triple with 2D internal space yields charged fermion model whose fluctuations produce gauge fields, geometry changes, charge-dependent derivative, and novel induced bosonic terms.
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Spectral Noncommutative Geometry, Standard Model and all that
Review of spectral noncommutative geometry applied to the Standard Model, including bosonic and fermionic actions, Euclidean vs Lorentz issues, and going beyond the SM.