Gauge theory on twisted \(\kappa \)-Minkowski: old problems and possible solutions

DOI10.3842/SIGMA.2014.063zbMath1295.81125arXiv1403.1857MaRDI QIDQ401244

Marija Dimitrijević, Larisa Jonke, Anna Pachoł

Publication date: 26 August 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1857

zbMATH Keywords

twist\({U}(1)\) gauge theory\(\kappa\)-MinkowskiHodge dual

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75) Twistor methods in differential geometry (53C28)

Related Items (14)

Almost abelian twists and AdS/CFT ⋮ Conformal twists, Yang–Baxter σ-models & holographic noncommutativity ⋮ Gauge theories on quantum spaces ⋮ Gauge theory on twist-noncommutative spaces ⋮ Algebraic structures in κ-Poincaré invariant gauge theories ⋮ \(\kappa\)-Poincaré invariant orientable field theories at one-loop ⋮ Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces ⋮ Single extra dimension from \(\kappa\)-Poincaré and gauge invariance ⋮ One parameter family of Jordanian twists ⋮ Gauge theories on \(\kappa\)-Minkowski spaces: twist and modular operators ⋮ The \(\kappa\)-(A)dS noncommutative spacetime ⋮ Interpolations between Jordanian twists induced by coboundary twists ⋮ Noncommutative scalar quasinormal modes of the Reissner–Nordström black hole ⋮ Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory

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