41 citations · 122 across the 7 of their papers we have counts for
7 papers
U_{q}(sl_{2}) at fourth root of unity
D. Kastler, T. Krajewski, P. Seibt +1
In this paper, we study finite dimensional quotients of the Hopf algebra U_{q}(sl_{2}) at fourth root of unity. We give explicitly all the corresponding automorphisms, real forms a…
On Connes' new principle of general relativity. Can spinors hear the forces of spacetime?
Lionel Carminati, Bruno Iochum, Daniel Kastler +1
Connes has extended Einstein's principle of general relativity to noncommutative geometry. The new principle implies that the Dirac operator is covariant with respect to Lorentz an…
On the universal Chamseddine-Connes action 1. Details of the action computation
Bruno Iochum, Daniel Kastler, Thomas Schucker
We give the details of the computation of the Chamseddine-Connes action by combination of a Lichnerowicz formula with the heat kernel expension.
Riemannian and Non-commutative Geometry in Physics
Bruno Iochum, Daniel Kastler, Thomas Schucker
We feel that non-commutative geometry is to particle physics what Riemannian geometry is to gravity. We try to explain this feeling.
Fuzzy Mass Relations in the Standard Model
Bruno Iochum, Daniel Kastler, Thomas Schucker
Recently Connes has proposed a new geometric version of the standard model including a non-commutative charge conjugation. We present a systematic analysis of the relations among m…
A DETAILED ACCOUNT OF ALAIN CONNES' VERSION OF THE STANDARD MODEL IV
Daniel Kastler, Thomas Schucker
We give a detailed account of the computation of the Yang-Mills action for the Connes-Lott model with general coupling constant in the commutant of the -cycle. This leads to tre…