On a Classification of Irreducible Almost Commutative Geometries III
arXiv:hep-th/0503190 · doi:10.1063/1.1946527
Abstract
We extend a classification of irreducible, almost commutative geometries whose spectral action is dynamically non-degenerate to internal algebras that have four simple summands.
10 pages LaTeX, 2 figures
References in corpus (7)
- Gravity coupled with matter and foundation of non-commutative geometry
- The Spectral Action Principle
- Classification of Finite Spectral Triples
- On a Classification of Irreducible Almost Commutative Geometries
- A Farewell To Unimodularity
- On a Classification of Irreducible Almost Commutative Geometries, A Second Helping
- Finding the Standard Model of Particle Physics, A Combinatorial Problem
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- Gauge unification in noncommutative geometry