NCG at Frontiers of Fundamental Physics

Here is an update (from a noncommutative geometry point of view) of the talks at the conference Frontiers of Fundamental Physics. The conference started off with a great welcome reception at the Fort Ganteaume, enjoying a great view on the fireworks for the 14th of July.

On Monday morning there was a nice overview on the status of HEP after LHC run 1 by Paraskesas Sphicas, were especially the experimental finding of spin 0 for the Higgs boson is interesting for NCG and applications where it naturally appears as a scalar boson.

In one of the so-called `parallel plenary’ sessions Pierre Bieliavsky gave an overview of deformation quantization using the deformation of a matrix algebra as an interesting 0-dimensional toy model.

There were two interesting contributions on causal structures in noncommutative geometry, addressing some of the first questions on the way towards a Lorentzian version of spectral triples. Fabien Besnard introduces so-called \(I^*\)-algebras that translates to the \(C^*\)-algebraic level the causal structure on the state space of that \(C^*\)-algebra. A reference is

Mickal Eckstein presented some of his recent work with Nicolas Franco on Lorentzian spectral triples, arriving at a different notion of causality in the context of spectral triples. Some of the examples he discussed were two-sheeted spacetime for which he derived a causal relation between the two sheets when the distance in the continuous direction was larger than the distance in the discrete direction. The corresponding paper is in preparation.

One thought on “NCG at Frontiers of Fundamental Physics

  1. Pingback: Frontiers of Fundamental Physics 14 | Actumaths

Leave a Reply