Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 10 (2014), 063, 22 pages      arXiv:1403.1857      https://doi.org/10.3842/SIGMA.2014.063
Contribution to the Special Issue on Deformations of Space-Time and its Symmetries

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

Marija Dimitrijević a, Larisa Jonke b and Anna Pachoł c
a) University of Belgrade, Faculty of Physics, Studentski trg 12, 11000 Beograd, Serbia
b) Division of Theoretical Physics, Rudjer Bošković Institute, Bijenička 54, 10000 Zagreb, Croatia
c) Science Institute, University of Iceland, Dunhaga 3, 107 Reykjavik, Iceland

Received March 10, 2014, in final form June 05, 2014; Published online June 14, 2014

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.

Key words: $\kappa$-Minkowski; twist; ${U}(1)$ gauge theory; Hodge dual.

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