Noncommutative \(\varepsilon \)-graded connections

DOI10.4171/JNCG/94zbMath1275.58003arXiv0811.3567MaRDI QIDQ426736

Thierry Masson, Jean-Christophe Wallet, Axel de Goursac

Publication date: 12 June 2012

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3567

zbMATH Keywords

\(\varepsilon \)-derivations and connections\(\varepsilon \)-graded associative algebraderivation-based differential calculus

Mathematics Subject Classification ID

Color Lie (super)algebras (17B75) Noncommutative differential geometry (46L87) Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry (à la Connes) (58B34)

Related Items (16)

Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom ⋮ Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences ⋮ Closed star product on noncommutative \(\mathbb R^{3}\) and scalar field dynamics ⋮ Noncommutative gauge theories on \( {{\mathbb{R}}}_{\lambda}^3 \): perturbatively finite models ⋮ Exact partition functions for gauge theories on \(\mathbb{R}_\lambda^3\) ⋮ Membership Deformation of Commutativity and Obscure n-ary Algebras ⋮ Renormalization of the commutative scalar theory with harmonic term to all orders ⋮ U(\(N\)) Yang-Mills in non-commutative space time ⋮ Gauge theories on quantum spaces ⋮ Deformation quantization for Heisenberg supergroup ⋮ Metrics and causality on Moyal planes ⋮ Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces ⋮ Single extra dimension from \(\kappa\)-Poincaré and gauge invariance ⋮ Almost commutative \(Q\)-algebras and derived brackets ⋮ Noncommutative gauge theories on \( \mathbb{R}_{\theta}^2 \) as matrix models ⋮ Gauge theories on \(\kappa\)-Minkowski spaces: twist and modular operators

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