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The unconstrained frame-like formulation of an infinite tower of completely symmetric tensor gauge fields is reviewed and examined in the limit where the cosmological constant goes to zero. By partially fixing the gauge and solving the…

High Energy Physics - Theory · Physics 2022-09-07 Xavier Bekaert

The Lagrangian frame-like formulation of free higher spin symmetric bosonic AdS(d) fields is given within a manifestly sp(2) invariant framework. It is designed to deal with infinite multiplets of fields appearing as gauge connections of…

High Energy Physics - Theory · Physics 2008-11-07 K. B. Alkalaev

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…

High Energy Physics - Theory · Physics 2022-04-12 M. V. Khabarov , Yu. M. Zinoviev

The details of unconstrained Lagrangian formulations (being continuation of earlier developed research for Bose particles in NPB 862 (2012) 270, [arXiv:1110.5044[hep-th]], Phys. of Part. and Nucl. 43 (2012) 689, [arXiv:1202.4710 [hep-th]])…

High Energy Physics - Theory · Physics 2021-04-06 Alexander A. Reshetnyak

We discuss the problem of consistent description of higher spin massive fields coupled to external gravity. As an example we consider massive field of spin 2 in arbitrary gravitational field. Consistency requires the theory to have the same…

High Energy Physics - Theory · Physics 2017-08-23 I. L. Buchbinder , V. D. Pershin

We apply an unconstrained formulation of bosonic higher spin fields to study interactions of these fields with a bosonic field using new method for the deformation procedure. It is proved that local vertices of any order containing one…

High Energy Physics - Theory · Physics 2023-01-18 P. M. Lavrov

Gauge invariant Lagrangian descriptions of irreducible and reducible half-integer higher-spin mixed-symmetric massless and massive representations of the Poincare group with off-shell algebraic constraints are constructed within a…

High Energy Physics - Theory · Physics 2018-10-25 Alexander A. Reshetnyak

We present a systematic exposition of the Lagrangian field theory for the massive spin-two field generated in higher-derivative gravity. It has been noticed by various authors that this nonlinear field overcomes the well known inconsistency…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. Magnano , L. M. Sokolowski

The consistent interactions between a single, free, massless tensor gauge field with the mixed symmetry $(3,1)$ and an Abelian $p$-form are investigated in the framework of the BRST formalism combined with cohomological techniques. Under…

High Energy Physics - Theory · Physics 2007-05-23 C. C. Ciobirca , S. O. Saliu

We derive fully explicit equations of motion, and the associated set of constraints, describing the propagation in a flat space-time of a charged spin-3/2 massive state in a constant electromagnetic background. For this purpose, we provide…

High Energy Physics - Theory · Physics 2023-03-22 Karim Benakli , Cassiano A. Daniel , Wenqi Ke

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…

High Energy Physics - Theory · Physics 2017-11-16 Yu. M. Zinoviev

We extend the results of Lagrangian formulations study to construct gauge-invariant Lagrangians for (ir)reducible integer higher-spin massless and massive representations of the Poincare group with a Young tableau…

High Energy Physics - Theory · Physics 2026-02-16 Alexander A. Reshetnyak , Julia V. Bogdanova , Vipul K. Pandey

We study the problem of interacting theories with (partially)-massless and conformal higher spin fields without matter in three dimensions. A new class of theories that have partially-massless fields is found, which significantly extends…

High Energy Physics - Theory · Physics 2020-09-23 Maxim Grigoriev , Karapet Mkrtchyan , Evgeny Skvortsov

We study the interaction of gauge fields of arbitrary integer spins with the constant electromagnetic field. We reduce the problem of obtaining the gauge-invariant Lagrangian of integer spin fields in the external field to purely algebraic…

High Energy Physics - Theory · Physics 2009-10-31 S. M. Klishevich

Some puzzling aspects of higher spin field theory in Minkowski space-time, such as the tracelessness constraints and the search for an underlying physical principle, are discussed. A connecting idea might be provided by the recently much…

High Energy Physics - Theory · Physics 2015-06-15 Anders K. H. Bengtsson

The Fronsdal Lagrangians for free totally symmetric rank-s tensors rest on suitable trace constraints for their gauge parameters and gauge fields. Only when these constraints are removed, however, the resulting equations reflect the…

High Energy Physics - Theory · Physics 2009-11-11 D. Francia , A. Sagnotti

In this note, we construct a BRST invariant cubic vertex for massless fields of arbitrary mixed symmetry in flat space-time. The construction is based on the vertex given in bosonic Open String Field Theory. The algebra of gauge…

High Energy Physics - Theory · Physics 2008-11-26 A. Fotopoulos , M. Tsulaia

The details of Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ having $2$ columns are considered for Bose particles propagated on an arbitrary…

High Energy Physics - Theory · Physics 2014-12-11 Alexander A. Reshetnyak

We analyse the constraints imposed by gauge invariance on higher-order interactions between massless bosonic fields in three-dimensional higher-spin gravities. We show that vertices of quartic and higher order that are independent of the…

High Energy Physics - Theory · Physics 2019-10-02 Stefan Fredenhagen , Olaf Krüger , Karapet Mkrtchyan

We apply a recently presented BRST procedure to construct the Largangian cubic vertex of higher-spin gauge field triplets interacting with massive free scalars. In flat space, the spin-s triplet propagates the series of irreducible spin-s,…

High Energy Physics - Theory · Physics 2009-06-11 A. Fotopoulos , N. Irges , A. C. Petkou , M. Tsulaia