Infinite Spin Fields in d = 3 and Beyond

In this paper, we consider the frame-like formulation for the so-called infinite (continuous) spin representations of the Poincare algebra. In the three-dimensional case, we give explicit Lagrangian formulation for bosonic and fermionic infinite spin fields (including the complete sets of the gauge-...

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Main Author: Yurii M. Zinoviev
Format: Article
Language:English
Published: MDPI AG 2017-08-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/3/3/63
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author Yurii M. Zinoviev
author_facet Yurii M. Zinoviev
author_sort Yurii M. Zinoviev
collection DOAJ
description In this paper, we consider the frame-like formulation for the so-called infinite (continuous) spin representations of the Poincare algebra. In the three-dimensional case, we give explicit Lagrangian formulation for bosonic and fermionic infinite spin fields (including the complete sets of the gauge-invariant objects and all the necessary extra fields). Moreover, we find the supertransformations for the supermultiplet containing one bosonic and one fermionic field, leaving the sum of their Lagrangians invariant. Properties of such fields and supermultiplets in four and higher dimensions are also briefly discussed.
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spelling doaj.art-ad68076a6ae84e67802b6da1aeb06db22022-12-22T04:10:35ZengMDPI AGUniverse2218-19972017-08-01336310.3390/universe3030063universe3030063Infinite Spin Fields in d = 3 and BeyondYurii M. Zinoviev0Institute for High Energy Physics of National Research Center “Kurchatov Institute” Protvino, Moscow Region 142281, RussiaIn this paper, we consider the frame-like formulation for the so-called infinite (continuous) spin representations of the Poincare algebra. In the three-dimensional case, we give explicit Lagrangian formulation for bosonic and fermionic infinite spin fields (including the complete sets of the gauge-invariant objects and all the necessary extra fields). Moreover, we find the supertransformations for the supermultiplet containing one bosonic and one fermionic field, leaving the sum of their Lagrangians invariant. Properties of such fields and supermultiplets in four and higher dimensions are also briefly discussed.https://www.mdpi.com/2218-1997/3/3/63infinite spin fieldsmassive higher spinsgauge invariancesupersymmetry
spellingShingle Yurii M. Zinoviev
Infinite Spin Fields in d = 3 and Beyond
Universe
infinite spin fields
massive higher spins
gauge invariance
supersymmetry
title Infinite Spin Fields in d = 3 and Beyond
title_full Infinite Spin Fields in d = 3 and Beyond
title_fullStr Infinite Spin Fields in d = 3 and Beyond
title_full_unstemmed Infinite Spin Fields in d = 3 and Beyond
title_short Infinite Spin Fields in d = 3 and Beyond
title_sort infinite spin fields in d 3 and beyond
topic infinite spin fields
massive higher spins
gauge invariance
supersymmetry
url https://www.mdpi.com/2218-1997/3/3/63
work_keys_str_mv AT yuriimzinoviev infinitespinfieldsind3andbeyond