145 citations · 907 across the 49 of their papers we have counts for
9 papers · 1 filter
Superconnection in the spin factor approach to particle physics
Michel Dubois-Violette, Ivan Todorov
The notion of superconnection devised by Quillen in 1985 and used in gauge-Higgs field theory in the 1990's is applied to the spin factors (finite-dimensional euclidean Jordan alge…
Exceptional quantum geometry and particle physics II
Michel Dubois-Violette, Ivan Todorov
We continue the study undertaken in [13] of the relevance of the exceptional Jordan algebra of hermitian octonionic matrices for the description of the internal…
Deducing the symmetry of the standard model from the automorphism and structure groups of the exceptional Jordan algebra
Ivan Todorov, Michel Dubois-Violette
We continue the study undertaken in \cite{DV} of the exceptional Jordan algebra as (part of) the finite-dimensional quantum algebra in an almost classical space-time ap…
Generalized cohomologies and the physical subspace of the WZNW model
Michel Dubois-Violette, Ivan T. Todorov
The zero modes of the monodromy extended SU(2) WZNW model give rise to a gauge theory with a finite dimensional state space. A generalized BRS operator such that $A^h=0 (h=k+2=…
Linear connections on the quantum plane
Michel Dubois-Violette, John Madore, Thierry Masson +1
A general definition has been proposed recently of a linear connection and a metric in noncommutative geometry. It is shown that to within normalization there is a unique linear co…
Derivations and noncommutative differential calculus II
Michel Dubois-Violette, Peter W. Michor
We characterize the derivation $d:A\to Ω^1_{\der}(A)$ by a universal property introducing a new class of bimodules.
A bigraded version of the Weil algebra and of the Weil homomorphism for Donaldson invariants
Michel Dubois-Violette
We describe a bigraded generalization of the Weil algebra, of its basis and of the characteristic homomorphism which besides ordinary characteristic classes also maps on Donaldson…
Complex structures and the Elie Cartan approach to the theory of spinors
Michel Dubois-Violette
Each isometric complex structure on a 2-dimensional euclidean space corresponds to an identification of the Clifford algebra of with the canonical anticommutation rel…
General Solution of the Consistency Equation
M. Dubois-Violette, M. Henneaux, M. Talon +1
We produce the general solution of the Wess-Zumino consistency condition for gauge theories of the Yang-mills type, for any ghost number and form degree. We resolve the problem of…