Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS 4 space

I. L. Buchbinder, M. V. Khabarov, T. V. Snegirev, Yu M. Zinoviev

Research output: Contribution to journalArticle

Abstract

In the recent paper [1] the classification of non-unitary representations of the three dimensional superconformal group has been constructed. From AdS/CFT they must correspond to N = 1 supermultiplets containing partially massless fields in AdS4. Moreover, the simplest example of such supermultiplets which contains a partially massless spin-2 was explicitly constructed. In this paper we extend this result and develop explicit Lagrangian construction of general N = 1 supermultiplets containing partially massless fields with arbitrary superspin. We use the frame-like gauge invariant description of partially massless higher spin bosonic and fermionic fields. For the two types of the supermultiplets (with integer and half-integer superspins) each one containing two partially massless bosonic and two partially massless fermionic fields we derive the supertransformations leaving the sum of their free Lagrangians invariant such that the AdS4 superalgebra is closed on-shell.

Original languageEnglish
Article number116
JournalJournal of High Energy Physics
Volume2019
Issue number8
DOIs
Publication statusPublished - 1 Aug 2019

Fingerprint

integers

Keywords

  • Gauge Symmetry
  • Higher Spin Symmetry
  • Supersymmetric Gauge Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS 4 space. / Buchbinder, I. L.; Khabarov, M. V.; Snegirev, T. V.; Zinoviev, Yu M.

In: Journal of High Energy Physics, Vol. 2019, No. 8, 116, 01.08.2019.

Research output: Contribution to journalArticle

@article{b7b3acb286c346719c57fd3bbd606652,
title = "Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS 4 space",
abstract = "In the recent paper [1] the classification of non-unitary representations of the three dimensional superconformal group has been constructed. From AdS/CFT they must correspond to N = 1 supermultiplets containing partially massless fields in AdS4. Moreover, the simplest example of such supermultiplets which contains a partially massless spin-2 was explicitly constructed. In this paper we extend this result and develop explicit Lagrangian construction of general N = 1 supermultiplets containing partially massless fields with arbitrary superspin. We use the frame-like gauge invariant description of partially massless higher spin bosonic and fermionic fields. For the two types of the supermultiplets (with integer and half-integer superspins) each one containing two partially massless bosonic and two partially massless fermionic fields we derive the supertransformations leaving the sum of their free Lagrangians invariant such that the AdS4 superalgebra is closed on-shell.",
keywords = "Gauge Symmetry, Higher Spin Symmetry, Supersymmetric Gauge Theory",
author = "Buchbinder, {I. L.} and Khabarov, {M. V.} and Snegirev, {T. V.} and Zinoviev, {Yu M.}",
year = "2019",
month = "8",
day = "1",
doi = "10.1007/JHEP08(2019)116",
language = "English",
volume = "2019",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "8",

}

TY - JOUR

T1 - Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS 4 space

AU - Buchbinder, I. L.

AU - Khabarov, M. V.

AU - Snegirev, T. V.

AU - Zinoviev, Yu M.

PY - 2019/8/1

Y1 - 2019/8/1

N2 - In the recent paper [1] the classification of non-unitary representations of the three dimensional superconformal group has been constructed. From AdS/CFT they must correspond to N = 1 supermultiplets containing partially massless fields in AdS4. Moreover, the simplest example of such supermultiplets which contains a partially massless spin-2 was explicitly constructed. In this paper we extend this result and develop explicit Lagrangian construction of general N = 1 supermultiplets containing partially massless fields with arbitrary superspin. We use the frame-like gauge invariant description of partially massless higher spin bosonic and fermionic fields. For the two types of the supermultiplets (with integer and half-integer superspins) each one containing two partially massless bosonic and two partially massless fermionic fields we derive the supertransformations leaving the sum of their free Lagrangians invariant such that the AdS4 superalgebra is closed on-shell.

AB - In the recent paper [1] the classification of non-unitary representations of the three dimensional superconformal group has been constructed. From AdS/CFT they must correspond to N = 1 supermultiplets containing partially massless fields in AdS4. Moreover, the simplest example of such supermultiplets which contains a partially massless spin-2 was explicitly constructed. In this paper we extend this result and develop explicit Lagrangian construction of general N = 1 supermultiplets containing partially massless fields with arbitrary superspin. We use the frame-like gauge invariant description of partially massless higher spin bosonic and fermionic fields. For the two types of the supermultiplets (with integer and half-integer superspins) each one containing two partially massless bosonic and two partially massless fermionic fields we derive the supertransformations leaving the sum of their free Lagrangians invariant such that the AdS4 superalgebra is closed on-shell.

KW - Gauge Symmetry

KW - Higher Spin Symmetry

KW - Supersymmetric Gauge Theory

UR - http://www.scopus.com/inward/record.url?scp=85071169971&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85071169971&partnerID=8YFLogxK

U2 - 10.1007/JHEP08(2019)116

DO - 10.1007/JHEP08(2019)116

M3 - Article

VL - 2019

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 8

M1 - 116

ER -