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arxiv: 1304.7583 · v2 · pith:QWJTHDMUnew · submitted 2013-04-29 · 🧮 math-ph · hep-th· math.MP· math.QA

Inner Fluctuations in Noncommutative Geometry without the first order condition

Ali H. Chamseddine , Alain Connes , Walter D. van Suijlekom This is my paper
classification 🧮 math-ph hep-thmath.MPmath.QA
keywords fluctuationsinnerconditionmodelnoncommutativespectraladditionalgebra
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We extend inner fluctuations to spectral triples that do not fulfill the first-order condition. This involves the addition of a quadratic term to the usual linear terms. We find a semi-group of inner fluctuations, which only depends on the involutive algebra A and which extends the unitary group of A. This has a key application in noncommutative spectral models beyond the Standard Model, of which we consider here a toy model.

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  1. Spectral Noncommutative Geometry, Standard Model and all that

    hep-th 2019-06 unverdicted novelty 2.0

    Review of spectral noncommutative geometry applied to the Standard Model, including bosonic and fermionic actions, Euclidean vs Lorentz issues, and going beyond the SM.