Twistor formulation of massless 6D infinite spin fields
We construct massless infinite spin irreducible representations of the six-dimensional Poincaré group in the space of fields depending on twistor variables. It is shown that the massless infinite spin representation is realized on the two-twistor fields. We present a full set of equations of motion...
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2021
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oai:doaj.org-article:89a660711599447ba35f7a194022ed9b2021-12-04T04:32:50ZTwistor formulation of massless 6D infinite spin fields0550-321310.1016/j.nuclphysb.2021.115576https://doaj.org/article/89a660711599447ba35f7a194022ed9b2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S055032132100273Xhttps://doaj.org/toc/0550-3213We construct massless infinite spin irreducible representations of the six-dimensional Poincaré group in the space of fields depending on twistor variables. It is shown that the massless infinite spin representation is realized on the two-twistor fields. We present a full set of equations of motion for two-twistor fields represented by the totally symmetric SU(2) rank 2s two-twistor spin-tensor and show that they carry massless infinite spin representations. A field twistor transform is constructed and infinite spin fields are found in the space-time formulation with an additional spinor coordinate.I.L. BuchbinderS.A. FedorukA.P. IsaevElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 973, Iss , Pp 115576- (2021) |
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Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 I.L. Buchbinder S.A. Fedoruk A.P. Isaev Twistor formulation of massless 6D infinite spin fields |
description |
We construct massless infinite spin irreducible representations of the six-dimensional Poincaré group in the space of fields depending on twistor variables. It is shown that the massless infinite spin representation is realized on the two-twistor fields. We present a full set of equations of motion for two-twistor fields represented by the totally symmetric SU(2) rank 2s two-twistor spin-tensor and show that they carry massless infinite spin representations. A field twistor transform is constructed and infinite spin fields are found in the space-time formulation with an additional spinor coordinate. |
format |
article |
author |
I.L. Buchbinder S.A. Fedoruk A.P. Isaev |
author_facet |
I.L. Buchbinder S.A. Fedoruk A.P. Isaev |
author_sort |
I.L. Buchbinder |
title |
Twistor formulation of massless 6D infinite spin fields |
title_short |
Twistor formulation of massless 6D infinite spin fields |
title_full |
Twistor formulation of massless 6D infinite spin fields |
title_fullStr |
Twistor formulation of massless 6D infinite spin fields |
title_full_unstemmed |
Twistor formulation of massless 6D infinite spin fields |
title_sort |
twistor formulation of massless 6d infinite spin fields |
publisher |
Elsevier |
publishDate |
2021 |
url |
https://doaj.org/article/89a660711599447ba35f7a194022ed9b |
work_keys_str_mv |
AT ilbuchbinder twistorformulationofmassless6dinfinitespinfields AT safedoruk twistorformulationofmassless6dinfinitespinfields AT apisaev twistorformulationofmassless6dinfinitespinfields |
_version_ |
1718373042068914176 |