Finite Pseudo-Riemannian Spectral Triples and The Standard Model
High Energy Physics - Theory
2018-06-20 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
Starting from the formulation of pseudo-Riemannian generalisation of real spectral triples we develop the data of geometries over finite-dimensional algebras with indefinite metric and their Riemannian parts. We then discuss the Standard Model spectral triple in this formalism and interpret the physical symmetry preserving the lepton number as a shadow of a finite pseudo-Riemannian structure.
Keywords
Cite
@article{arxiv.1804.09482,
title = {Finite Pseudo-Riemannian Spectral Triples and The Standard Model},
author = {Arkadiusz Bochniak and Andrzej Sitarz},
journal= {arXiv preprint arXiv:1804.09482},
year = {2018}
}
Comments
15 pages, PACS 02.40.Gh, 12.60.-i, 11.30.Er