Gauge Theory on Twisted $\kappa$-Minkowski: Old Problems and Possible Solutions

Abstract

We review the application of twist deformation formalism and the construction of noncommutative gauge theory on $\kappa$-Minkowski space-time. We compare two different types of twists: the Abelian and the Jordanian one. In each case we provide the twisted differential calculus and consider $U(1)$ gauge theory. Different methods of obtaining a gauge invariant action and related problems are thoroughly discussed.

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Cited by in corpus (15)

• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Almost abelian twists and AdS/CFT
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• Noncommutative Scalar Quasinormal Modes of the Reissner Nordström Black Hole
• The $\kappa$-(A)dS noncommutative spacetime
• $\kappa$-Poincaré invariant quantum field theories with KMS weight
• Interplay between spacetime curvature, speed of light and quantum deformations of relativistic symmetries
• Twisted BRST symmetry in gauge theories on $\kappa$-Minkowski
• Vacuum energy and the cosmological constant problem in $\kappa$-Poincaré invariant field theories
• Cayley-Klein Lie bialgebras: Noncommutative spaces, Drinfel'd doubles and kinematical applications
• Interpolations between Jordanian Twists Induced by Coboundary Twists
• Twisted conformal algebra related to $\kappa$-Minkowski space
• Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces
• Quantum instability of gauge theories on $\kappa$-Minkowski space
• One Parameter Family of Jordanian Twists