scientific article

zbMath1177.58009arXivmath-ph/0411062MaRDI QIDQ3633679

Michel Dubois-Violette, Alain Connes

Publication date: 23 June 2009

Full work available at URL: https://arxiv.org/abs/math-ph/0411062

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zbMATH Keywords

deformationssuperalgebrasYang-Mills algebrashomogeneous algebrasquadratic self-duality algebras

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Noncommutative geometry (à la Connes) (58B34) Quadratic and Koszul algebras (16S37)

Related Items (11)

Koszul calculus for \(N\)-homogeneous algebras ⋮ Representations of super Yang-Mills algebras ⋮ Cohomology of Yang-Mills algebras. ⋮ Inhomogeneous Yang-Mills algebras ⋮ \(N\)-homogeneous superalgebras. ⋮ Stability of the Koszul property for the semi-cross product of homogeneous algebras. ⋮ Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras. ⋮ Supersymmetric deformations of maximally supersymmetric gauge theories ⋮ Hochschild dimension for graded algebras. ⋮ Graded algebras and multilinear forms. ⋮ Poincaré Duality for Koszul Algebras

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