Braids, normed division algebras, and standard model symmetries

DOI10.1016/j.physletb.2018.06.057zbMath1411.81235arXiv1803.02202OpenAlexW2793365829MaRDI QIDQ1738448

Niels G. Gresnigt

Publication date: 18 April 2019

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02202

Mathematics Subject Classification ID

Unified quantum theories (81V22) Braid groups; Artin groups (20F36) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Quadratic spaces; Clifford algebras (11E88)

Related Items (5)

One generation of standard model Weyl representations as a single copy of \(\mathbb{R} \otimes \mathbb{C} \otimes \mathbb{H} \otimes \mathbb{O}\) ⋮ A topological model of composite preons from the minimal ideals of two Clifford algebras ⋮ Division algebraic symmetry breaking ⋮ Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra ⋮ A combing algorithm for orientable braided 3-belts

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generations: three prints, in colour
• Emergent braided matter of quantum geometry
• Propagation and interaction of chiral states in quantum gravity
• C, P, and T of braid excitations in quantum gravity
• On the geometry of the conformal group in space-time
• Effective theory of braid excitations of quantum geometry in terms of Feynman diagrams
• The geometry of warped product singularities
• The Geometry of the Octonions
• THE STABILIZED POINCARE–HEISENBERG ALGEBRA: A CLIFFORD ALGEBRA VIEWPOINT
• Particle topology, braids, and braided belts
• Quantum gravity and the standard model
• Quark structure and octonions
• The octonions
• A demonstration that electroweak theory can violate parity automatically (leptonic case)
• Division algebras: Family replication

This page was built for publication: Braids, normed division algebras, and standard model symmetries