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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 309, Pages 54–65
DOI: https://doi.org/10.4213/tm4067 (Mi tm4067) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Massless Infinite Spin (Super)particles and Fields

I. L. Buchbindera, A. P. Isaevbcd, S. A. Fedorukb

a Faculty of Physics and Mathematics, Tomsk State Pedagogical University, Komsomol'skii pr. 75, Tomsk, 634041 Russia
b Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, ul. Joliot-Curie 6, Dubna, Moscow oblast, 141980 Russia
c Faculty of Physics, Moscow State University, Moscow, 119991 Russia
d St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, Fontanka 27, St. Petersburg, 191023 Russia
Full-text PDF (228 kB) Citations (4)
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DOI: https://doi.org/10.4213/tm4067
Abstract: A new twistor field formulation of a model of a massless infinite spin particle is proposed. A twistor infinite spin field is found, and its helicity decomposition is obtained. Twistorial equations of motion for infinite spin fields are derived in the cases of integer and half-integer helicities. The infinite integer spin field and infinite half-integer spin field are shown to form an $\mathcal N=1$ infinite spin supermultiplet. The corresponding supersymmetry transformations are presented. It is proved that the supersymmetry algebra is closed on-shell.
Keywords: twistors, infinite spin particles, canonical quantization, supersymmetry.
Funding agency Grant number
Russian Foundation for Basic Research 18-02-00153
Russian Science Foundation 19-11-00131
Ministry of Science and Higher Education of the Russian Federation FEWF-2020-0003
The work is supported by the Ministry of Science and Higher Education of the Russian Federation (I.L.B. and S.A.F., project no. FEWF-2020-0003), the Russian Foundation for Basic Research (I.L.B., project no. 18-02-00153), and the Russian Science Foundation (A.P.I., grant no. 19-11-00131).
Received: October 14, 2019
Revised: November 6, 2019
Accepted: January 15, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 309, Pages 46–56
DOI: https://doi.org/10.1134/S0081543820030049
Bibliographic databases:
Document Type: Article
UDC: 517.986.4
Language: Russian
Citation: I. L. Buchbinder, A. P. Isaev, S. A. Fedoruk, “Massless Infinite Spin (Super)particles and Fields”, Modern problems of mathematical and theoretical physics, Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov, Trudy Mat. Inst. Steklova, 309, Steklov Math. Inst. RAS, Moscow, 2020, 54–65; Proc. Steklov Inst. Math., 309 (2020), 46–56
Citation in format AMSBIB
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\paper Massless Infinite Spin (Super)particles and Fields
\inbook Modern problems of mathematical and theoretical physics
\bookinfo Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov
\serial Trudy Mat. Inst. Steklova
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\vol 309
\pages 54--65
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 4 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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