1211.0825 (Thijs van den Broek et al.)

Going beyond the Standard Model with noncommutative geometry    [PDF]

Thijs van den Broek, Walter D. van Suijlekom

The derivation of the full Standard Model from noncommutative geometry has been a promising sign for possible applications of the latter in High Energy Physics. Many believe, however, that the Standard Model cannot be the final answer. We translate several demands whose origin lie in physics to the context of noncommutative geometry and use these to put constraints on the fermionic content of models. We show that the Standard Model only satisfies these demands provided it has a right-handed neutrino in each 'generation'. We also prove that the Minimal Supersymmetric Standard Model is not among the models that satisfy our constraints, but pose a solution that is a slight extension of the MSSM.

View original: http://arxiv.org/abs/1211.0825