Onn-ary algebras, branes and poly-vector gauge theories in noncommutative Clifford spaces

DOI10.1088/1751-8113/43/36/365201zbMath1196.81216OpenAlexW2044850470MaRDI QIDQ4930102

Carlos Castro

Publication date: 28 September 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/43/36/365201

zbMATH Keywords

star productsBaker-Campbell-Hausdorff formulaNambu-Poisson bracketsnoncommutative Clifford-space gravity

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Yang-Mills and other gauge theories in quantum field theory (81T13) Gravitational interaction in quantum theory (81V17) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Noncommutative geometry methods in quantum field theory (81T75) Methods of noncommutative geometry in general relativity (83C65)

Related Items (9)

GENERALIZED GRAVITY IN CLIFFORD SPACES, VACUUM ENERGY AND GRAND UNIFICATION ⋮ Seiberg-Witten map with Lorentz-invariance and gauge-covariant star product ⋮ On nonlinear quantum mechanics, noncommutative phase spaces, fractal-scale calculus and vacuum energy ⋮ On Clifford space relativity, black hole entropy, rainbow metrics, generalized dispersion and uncertainty relations ⋮ High energy Dirac solutions: issues and ramifications ⋮ ON p-BRANES AND ANTISYMMETRIC NON-ABELIAN TENSORIAL GAUGE FIELD THEORIES OF DIFFEOMORPHISMS ⋮ The extended relativity theory in Clifford phase spaces and modifications of gravity at the Planck/Hubble scales ⋮ LANCZOS–LOVELOCK–CARTAN GRAVITY FROM CLIFFORD-SPACE GEOMETRY ⋮ Novel physical consequences of the extended relativity in Clifford spaces

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