54 citations · 497 across the 36 of their papers we have counts for
13 papers · 1 filter
Lifting Bratteli Diagrams between Krajewski Diagrams: Spectral Triples, Spectral Actions, and algebras
Thierry Masson, Gaston Nieuviarts
In this paper, we present a framework to construct sequences of spectral triples on top of an inductive sequence defining an -algebra. One aim of this paper is to lift arrows o…
Derivation-based Noncommutative Field Theories on algebras
Thierry Masson, Gaston Nieuviarts
In this paper, we start the investigation of a new natural approach to "unifying" noncommutative gauge field theories (NCGFT) based on approximately finite-dimensional () …
Cartan Connections and Atiyah Lie Algebroids
Jeremy Attard, Jordan François, Serge Lazzarini +1
This work extends previous developments carried out by some of the authors on Ehresmann connections on Atiyah Lie algebroids. In this paper, we study Cartan connections in a framew…
BRST structure for the mixed Weyl-diffeomorphism residual symmetry
Jordan François, Serge Lazzarini, Thierry Masson
In this paper, we show the compatibility of the so-called "dressing field method", which allows a systematic reduction of gauge symmetries, with the inclusion of diffeomorphisms in…
Residual Weyl symmetry out of conformal geometry and its BRS structure
Jordan François, Serge Lazzarini, Thierry Masson
The conformal structure of second order in -dimensions together with the so-called (normal) conformal Cartan connection, is considered as a framework for gauge theories. The dre…
Gauge invariant composite fields out of connections, with examples
Cédric Fournel, Jordan François, Serge Lazzarini +1
In this paper we put forward a systematic and unifying approach to construct gauge invariant composite fields out of connections. It relies on the existence in the theory of a grou…