### Abstract

We provide an explicit Lagrangian construction for the massless infinite spin N=1 supermultiplet in four dimensional Minkowski space. Such a supermultiplet contains a pair of massless bosonic and a pair of massless fermionic infinite spin fields with properly adjusted dimensionful parameters. We begin with the gauge invariant Lagrangians for such massless infinite spin bosonic and fermionic fields and derive the supertransformations which leave the sum of their Lagrangians invariant. It is shown that the algebra of these supertransformations is closed on-shell.

Original language | English |
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Article number | 114717 |

Journal | Nuclear Physics B |

Volume | 946 |

DOIs | |

Publication status | Published - 1 Sep 2019 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*946*, [114717]. https://doi.org/10.1016/j.nuclphysb.2019.114717

**Lagrangian formulation for the infinite spin N = 1 supermultiplets in d = 4.** / Buchbinder, I. L.; Khabarov, M. V.; Snegirev, T. V.; Zinoviev, Yu M.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 946, 114717. https://doi.org/10.1016/j.nuclphysb.2019.114717

}

TY - JOUR

T1 - Lagrangian formulation for the infinite spin N = 1 supermultiplets in d = 4

AU - Buchbinder, I. L.

AU - Khabarov, M. V.

AU - Snegirev, T. V.

AU - Zinoviev, Yu M.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - We provide an explicit Lagrangian construction for the massless infinite spin N=1 supermultiplet in four dimensional Minkowski space. Such a supermultiplet contains a pair of massless bosonic and a pair of massless fermionic infinite spin fields with properly adjusted dimensionful parameters. We begin with the gauge invariant Lagrangians for such massless infinite spin bosonic and fermionic fields and derive the supertransformations which leave the sum of their Lagrangians invariant. It is shown that the algebra of these supertransformations is closed on-shell.

AB - We provide an explicit Lagrangian construction for the massless infinite spin N=1 supermultiplet in four dimensional Minkowski space. Such a supermultiplet contains a pair of massless bosonic and a pair of massless fermionic infinite spin fields with properly adjusted dimensionful parameters. We begin with the gauge invariant Lagrangians for such massless infinite spin bosonic and fermionic fields and derive the supertransformations which leave the sum of their Lagrangians invariant. It is shown that the algebra of these supertransformations is closed on-shell.

UR - http://www.scopus.com/inward/record.url?scp=85069965884&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85069965884&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2019.114717

DO - 10.1016/j.nuclphysb.2019.114717

M3 - Article

VL - 946

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

M1 - 114717

ER -