On massive higher spins in d = 3

Abstract In this paper we consider a frame-like gauge invariant description of massive higher spin bosons and fermions in d = 3 and provide for the first time a proof that such formulation does describe just one massive physical degree of freedom with the appropriate helicity. For this purpose we co...

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Main Authors: M. V. Khabarov, Y. M. Zinoviev
Format: Article
Language:English
Published: SpringerOpen 2022-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2022)055
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author M. V. Khabarov
Y. M. Zinoviev
author_facet M. V. Khabarov
Y. M. Zinoviev
author_sort M. V. Khabarov
collection DOAJ
description Abstract In this paper we consider a frame-like gauge invariant description of massive higher spin bosons and fermions in d = 3 and provide for the first time a proof that such formulation does describe just one massive physical degree of freedom with the appropriate helicity. For this purpose we completely fix all the gauge symmetries and show that all other auxiliary components vanish on-shell, while the only remaining highest component satisfies the correct equations. As a bonus, we show that the Lagrangians for the so-called self-dual massive spin-3 and spin-4 fields proposed by Aragone and Khoudeir (as well as their generalization to arbitrary integer and half-integer spins) can be obtained from the gauge invariant ones by the appropriate gauge fixing.
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spelling doaj.art-e6b6404e3eb540f7b52e284a2c2f8b0a2023-03-22T10:11:12ZengSpringerOpenJournal of High Energy Physics1029-84792022-04-012022411310.1007/JHEP04(2022)055On massive higher spins in d = 3M. V. Khabarov0Y. M. Zinoviev1Institute for High Energy Physics of National Research Center “Kurchatov Institute”Institute for High Energy Physics of National Research Center “Kurchatov Institute”Abstract In this paper we consider a frame-like gauge invariant description of massive higher spin bosons and fermions in d = 3 and provide for the first time a proof that such formulation does describe just one massive physical degree of freedom with the appropriate helicity. For this purpose we completely fix all the gauge symmetries and show that all other auxiliary components vanish on-shell, while the only remaining highest component satisfies the correct equations. As a bonus, we show that the Lagrangians for the so-called self-dual massive spin-3 and spin-4 fields proposed by Aragone and Khoudeir (as well as their generalization to arbitrary integer and half-integer spins) can be obtained from the gauge invariant ones by the appropriate gauge fixing.https://doi.org/10.1007/JHEP04(2022)055Field Theories in Lower DimensionsGauge SymmetryHigher Spin GravityHigher Spin Symmetry
spellingShingle M. V. Khabarov
Y. M. Zinoviev
On massive higher spins in d = 3
Journal of High Energy Physics
Field Theories in Lower Dimensions
Gauge Symmetry
Higher Spin Gravity
Higher Spin Symmetry
title On massive higher spins in d = 3
title_full On massive higher spins in d = 3
title_fullStr On massive higher spins in d = 3
title_full_unstemmed On massive higher spins in d = 3
title_short On massive higher spins in d = 3
title_sort on massive higher spins in d 3
topic Field Theories in Lower Dimensions
Gauge Symmetry
Higher Spin Gravity
Higher Spin Symmetry
url https://doi.org/10.1007/JHEP04(2022)055
work_keys_str_mv AT mvkhabarov onmassivehigherspinsind3
AT ymzinoviev onmassivehigherspinsind3