Internal Space for the Noncommutative Geometry Standard Model and Strings

Abstract

In this paper I discuss connections between the noncommutative geometry approach to the standard model on one side, and the internal space coming from strings on the other. The standard model in noncommutative geometry is described via the spectral action. I argue that an internal noncommutative manifold compactified at the renormalization scale, could give rise to the almost commutative geometry required by the spectral action. I then speculate how this could arise from the noncommutative geometry given by the vertex operators of a string theory.

1+22 pages. More typos and misprints corrected

References in corpus (22)

• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Gravity coupled with matter and foundation of non-commutative geometry
• The Spectral Action Principle
• A Universal Action Formula
• A Lorentzian version of the non-commutative geometry of the standard model of particle physics
• Noncommutative Geometry and the standard model with neutrino mixing
• The Standard Model as a noncommutative geometry: the low energy regime
• Fermion Hilbert Space and Fermion Doubling in the Noncommutative Geometry Approach to Gauge Theories
• On Noncommutative and semi-Riemannian Geometry
• String Geometry and the Noncommutative Torus
• The standard model in noncommutative geometry and fermion doubling
• On the universal Chamseddine-Connes action 1. Details of the action computation
• Anomaly Cancellation and gauge group of the standard model in NCG
• Duality Symmetries and Noncommutative Geometry of String Spacetime
• Fuzzy Mass Relations in the Standard Model
• The noncommutative Lorentzian cylinder as an isospectral deformation
• Spectral action and big desert
• Target Space Duality in Noncommutative Geometry
• Mirror Fermions in Noncommutative Geometry
• A nonperturbative form of the spectral action principle in noncommutative geometry
• Fermion masses in noncommutative geometry
• Non-commutative geometry and the standard model vacuum

Cited by in corpus (3)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Numerical simulations of a non-commutative theory: the scalar model on the fuzzy sphere
• The scalar wave equation in a non-commutative spherically symmetric space-time