A fuzzy bipolar celestial sphere
Abstract We introduce a non-commutative deformation of the algebra of bipolar spherical harmonics supporting the action of the full Lorentz algebra. Our construction is close in spirit to the one of the non-commutative spherical harmonics associated to the fuzzy sphere and, as such, it leads to a ma...
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SpringerOpen
2019-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2019)028 |
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doaj-42c96ce34c594ce48ed8cc1416dd266f2020-11-25T03:24:36ZengSpringerOpenJournal of High Energy Physics1029-84792019-07-012019712110.1007/JHEP07(2019)028A fuzzy bipolar celestial sphereFrancesco Alessio0Michele Arzano1Dipartimento di Fisica “E. Pancini”, Università di Napoli Federico II and INFNDipartimento di Fisica “E. Pancini”, Università di Napoli Federico II and INFNAbstract We introduce a non-commutative deformation of the algebra of bipolar spherical harmonics supporting the action of the full Lorentz algebra. Our construction is close in spirit to the one of the non-commutative spherical harmonics associated to the fuzzy sphere and, as such, it leads to a maximal value of the angular momentum. We derive the action of Lorentz boost generators on such non-commutative spherical harmonics and show that it is compatible with the existence of a maximal angular momentum.http://link.springer.com/article/10.1007/JHEP07(2019)028Non-Commutative GeometrySpace-Time Symmetries |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Francesco Alessio Michele Arzano |
| spellingShingle |
Francesco Alessio Michele Arzano A fuzzy bipolar celestial sphere Journal of High Energy Physics Non-Commutative Geometry Space-Time Symmetries |
| author_facet |
Francesco Alessio Michele Arzano |
| author_sort |
Francesco Alessio |
| title |
A fuzzy bipolar celestial sphere |
| title_short |
A fuzzy bipolar celestial sphere |
| title_full |
A fuzzy bipolar celestial sphere |
| title_fullStr |
A fuzzy bipolar celestial sphere |
| title_full_unstemmed |
A fuzzy bipolar celestial sphere |
| title_sort |
fuzzy bipolar celestial sphere |
| publisher |
SpringerOpen |
| series |
Journal of High Energy Physics |
| issn |
1029-8479 |
| publishDate |
2019-07-01 |
| description |
Abstract We introduce a non-commutative deformation of the algebra of bipolar spherical harmonics supporting the action of the full Lorentz algebra. Our construction is close in spirit to the one of the non-commutative spherical harmonics associated to the fuzzy sphere and, as such, it leads to a maximal value of the angular momentum. We derive the action of Lorentz boost generators on such non-commutative spherical harmonics and show that it is compatible with the existence of a maximal angular momentum. |
| topic |
Non-Commutative Geometry Space-Time Symmetries |
| url |
http://link.springer.com/article/10.1007/JHEP07(2019)028 |
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AT francescoalessio afuzzybipolarcelestialsphere AT michelearzano afuzzybipolarcelestialsphere AT francescoalessio fuzzybipolarcelestialsphere AT michelearzano fuzzybipolarcelestialsphere |
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