Inner Fluctuations in Noncommutative Geometry without the first order condition
Mathematical Physics
2013-12-02 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
We extend inner fluctuations to spectral triples that do not fulfill the first-order condition. This involves the addition of a quadratic term to the usual linear terms. We find a semi-group of inner fluctuations, which only depends on the involutive algebra A and which extends the unitary group of A. This has a key application in noncommutative spectral models beyond the Standard Model, of which we consider here a toy model.
Cite
@article{arxiv.1304.7583,
title = {Inner Fluctuations in Noncommutative Geometry without the first order condition},
author = {Ali H. Chamseddine and Alain Connes and Walter D. van Suijlekom},
journal= {arXiv preprint arXiv:1304.7583},
year = {2013}
}
Comments
22 pages, 2 figures