Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions

[摘要] 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.

[关键词] κ-Minkowski;twist;U(1) gauge theory;Hodge dual