On twisting real spectral triples by algebra automorphisms
Mathematical Physics
2016-09-21 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
We systematically investigate ways to twist a real spectral triple via an algebra automorphism and in particular, we naturally define a twisted partner for any real graded spectral triple. Among other things we investigate consequences of the twisting on the fluctuations of the metric and possible applications to the spectral approach to the standard model of particle physics.
Keywords
Cite
@article{arxiv.1601.00219,
title = {On twisting real spectral triples by algebra automorphisms},
author = {Giovanni Landi and Pierre Martinetti},
journal= {arXiv preprint arXiv:1601.00219},
year = {2016}
}
Comments
References updated, minor corrections, result on the unicity of the minimal twist for manifolds strengthened