Marija Dimitrijević, Larisa Jonke, Anna Pachoł, “Gauge Theory on Twisted <nobr>$\kappa$</nobr>-Minkowski: Old Problems and Possible Solutions”, SIGMA, 2014, Volume 10,063, 22 pp.

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

Marija Dimitrijević^a, Larisa Jonke^b, Anna Pachoł^c

^a University of Belgrade, Faculty of Physics, Studentski trg 12, 11000 Belgrad, 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

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.

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

MSC: 81T75; 58B22

Received: March 10, 2014; in final form June 5, 2014; Published online June 14, 2014

Language: English

DOI: 10.3842/SIGMA.2014.063