Посилання:Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions / M. Dimitrijević, L. Jonke, A. Pachol // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 54 назв. — англ.
Підтримка:This paper is a contribution to the Special Issue on Deformations of Space-Time and its Symmetries. The
full collection is available at http://www.emis.de/journals/SIGMA/space-time.html.
The authors are grateful to P. Aschieri for pointing out the reference [25] and to A. Borowiec
for discussions. We would also like to thank the anonymous referees for their insightful comments.
The work is partially supported by ICTP - SEENET-MTP Project PRJ09 “Cosmology
and Strings” in frame of the Southeastern European Network in Theoretical and Mathematical
Physics. A.P. acknowledges the financial support of Polish NCN Grant 2011/01/B/ST2/03354.
The work of M.D. is supported by Project No. 171031 of the Serbian Ministry of Education and
Science.
We review the application of twist deformation formalism and the construction of noncommutative gauge theory on κ-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.