Beyond the spectral standard model: emergence of Pati-Salam unification
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Publication:737799
DOI10.1007/JHEP11(2013)132zbMath1410.81032arXiv1304.8050MaRDI QIDQ737799
Alain Connes, Ali H. Chamseddine, Walter D. van Suijlekom
Publication date: 12 August 2016
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.8050
Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34)
Related Items (42)
Geometry and the quantum: basics ⋮ Masses and mixing of neutral leptons in a grand unified \(E_6\) model with intermediate Pati-Salam symmetry ⋮ Particle models from special Jordan backgrounds and spectral triples ⋮ A critical survey of twisted spectral triples beyond the Standard Model ⋮ Gauge transformations for twisted spectral triples ⋮ Extensions of the noncommutative Standard Model and the weak order one condition ⋮ On symmetry breaking in the B − L extended spectral standard model ⋮ Spectral triple with real structure on fuzzy sphere ⋮ Grand unification in the spectral Pati-Salam model ⋮ On twisting real spectral triples by algebra automorphisms ⋮ Krein spectral triples and the fermionic action ⋮ Factorization of Dirac operators on toric noncommutative manifolds ⋮ Type-II two-Higgs-doublet model in noncommutative geometry ⋮ A new algebraic structure in the standard model of particle physics ⋮ Noncommutative geometry and structure of space-time ⋮ GUTs without guts ⋮ Quantum causality in κ-Minkowski and related constraints ⋮ Algebraic structures in κ-Poincaré invariant gauge theories ⋮ The graded product of real spectral triples ⋮ Localizing gauge theories from noncommutative geometry ⋮ The disappearance of causality at small scale in almost-commutative manifolds ⋮ Implications of the complex singlet field for noncommutative geometry model ⋮ Twisted quadrics and algebraic submanifolds in \(\mathbb{R}^n\) ⋮ Pseudo-Riemannian structures in Pati-Salam models ⋮ Real part of twisted-by-grading spectral triples ⋮ The geometry of physical observables ⋮ A survey of spectral models of gravity coupled to matter ⋮ A U(1)B−L-extension of the standard model from noncommutative geometry ⋮ Lorentz signature and twisted spectral triples ⋮ High energy bosons do not propagate ⋮ Gauge transformations of spectral triples with twisted real structures ⋮ Twisted submanifolds of \(\mathbb{R}^n\) ⋮ On Jordan-Clifford algebras, three fermion generations with Higgs fields and a \(\mathrm{SU}(3) \times \mathrm{SU}(2)_L \times \mathrm{SU}(2)_R \times \mathrm{U}(1)\) model ⋮ Higgs mass in noncommutative geometry ⋮ Algebraic backgrounds for noncommutative Kaluza-Klein theory. I. Motivations and general framework ⋮ Non-commutative geometry, non-associative geometry and the standard model of particle physics ⋮ Rethinking Connes’ approach to the standard model of particle physics via non-commutative geometry ⋮ Lorentzian fermionic action by twisting Euclidean spectral triples ⋮ Spectral action and the electroweak \(\theta\)-terms for the standard model without fermion doubling ⋮ Spectral Noncommutative Geometry Standard Model and all that ⋮ One-loop corrections to the spectral action ⋮ A Noncommutative Geometric Approach to the Batalin–Vilkovisky Construction
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