Yang-Mills and some related algebras
Alain Connes, Michel Dubois-Violette
TL;DR
This paper explores the structure of Yang-Mills and related algebras using the framework of homogeneous algebra theory, providing insights into their properties and generalizations.
Contribution
It applies homogeneous algebra theory to analyze Yang-Mills, self-duality, and super algebras, introducing new perspectives and potential generalizations.
Findings
Analysis of cubic Yang-Mills algebra structure
Description of quadratic self-duality algebras
Extensions to super and generalized algebras
Abstract
After a short introduction on the theory of homogeneous algebras we describe the application of this theory to the analysis of the cubic Yang-Mills algebra, the quadratic self-duality algebras, their "super" versions as well as to some generalization.
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