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Yang-Mills and some related algebras

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arxiv math-ph/0411062 v2 pith:AY2DW2IB submitted 2004-11-18 math-ph hep-thmath.MPmath.QA

Alain Connes , Michel Dubois-Violette This is my paper · ORCID
classification math-phhep-thmath.MPmath.QA
keywords algebrassometheoryyang-millsalgebraanalysisapplicationcubic
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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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  1. Local Operator Algebras of Charged States in Gauge Theory and Gravity

    hep-th 2024-11 conditional novelty 6.0 of 10

    The paper constructs a formally unitary intertwiner between the exact and linearized BRST charges, yielding an automorphism that maps local operators to physical charged operators in gauge theories and perturbative gr...

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