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Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions
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- Фізико-технічні та математичні науки
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions
Інший ID:
2010 Mathematics Subject Classification: 81T75; 58B22
DOI:10.3842/SIGMA.2014.063
DOI:10.3842/SIGMA.2014.063
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.
Дата:
2014
Переглядів:
559
Завантажень:
220
Анотація:
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.
