Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces

Alessandro Zampini; Giuseppe Marmo; Patrizia Vitale

Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces

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arxiv 1805.06300 v1 pith:IHJOMXK6 submitted 2018-05-16 math.QA hep-thmath-phmath.MP

Giuseppe Marmo , Patrizia Vitale , Alessandro Zampini This is my paper · ORCID

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We equip a family of algebras whose noncommutativity is of Lie type with a derivation based differential calculus obtained, upon suitably using both inner and outer derivations, as a reduction of a redundant calculus over the Moyal four dimensional space.

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Yang-Mills Field in the $\kappa$-space-time
hep-th 2024-11 conditional novelty 6.0 of 10

A first-order SU(N) Yang-Mills theory on κ-deformed spacetime is constructed, with field strengths rescaled by probe-energy-dependent factors and an SU(N)-invariant Lagrangian.

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