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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2014 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2014
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| Online Zugang: | 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 |
| Zitieren: | 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| _version_ | 1862641926771048448 |
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| author | Dimitrijević, M. Jonke, L. Pachoł, A. |
| author_facet | Dimitrijević, M. Jonke, L. Pachoł, A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-01T04:42:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146654 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T04:42:12Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions Dimitrijević, M. Jonke, L. Pachoł, A. |
| title | 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_short | Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions |
| title_sort | gauge theory on twisted κ-minkowski: old problems and possible solutions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146654 |
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