Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions
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 theor...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2014 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146654 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146654 |
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Dimitrijević, M. Jonke, L. Pachoł, A. 2019-02-10T15:15:11Z 2019-02-10T15:15:11Z 2014 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. 1815-0659 2010 Mathematics Subject Classification: 81T75; 58B22 DOI:10.3842/SIGMA.2014.063 https://nasplib.isofts.kiev.ua/handle/123456789/146654 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions |
| spellingShingle |
Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions Dimitrijević, M. Jonke, L. Pachoł, A. |
| title_short |
Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions |
| title_full |
Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions |
| title_fullStr |
Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions |
| title_full_unstemmed |
Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions |
| title_sort |
gauge theory on twisted κ-minkowski: old problems and possible solutions |
| author |
Dimitrijević, M. Jonke, L. Pachoł, A. |
| author_facet |
Dimitrijević, M. Jonke, L. Pachoł, A. |
| publishDate |
2014 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146654 |
| citation_txt |
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. |
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2025-12-01T04:42:12Z |
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2025-12-01T04:42:12Z |
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