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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

Massive arbitrary spin totally symmetric free fermionic fields propagating in d-dimensional (Anti)-de Sitter space-time are investigated. Gauge invariant action and the corresponding gauge transformations for such fields are proposed. The…

High Energy Physics - Theory · Physics 2008-11-26 R. R. Metsaev

Free AdS(5) mixed-symmetry massless bosonic and fermionic gauge fields of arbitrary spins are described by using su(2,2) spinor language. Manifestly covariant action functionals are constructed and field equations are derived.

High Energy Physics - Theory · Physics 2008-11-26 K. B. Alkalaev

There are several approaches to formulate gauge-invariant models for massive integer-spin fields in $d$ dimensions including the following: (i) in terms of symmetric tensor fields $\phi_{\mu_1 \dots \mu_k} $, with $k = s, s-1, \dots , 0$,…

High Energy Physics - Theory · Physics 2024-11-22 Arcadia John Fegebank , Sergei M. Kuzenko

We develop the BRST approach to gauge invariant Lagrangian construction for the massive mixed symmetry integer higher spin fields described by the rank-two Young tableaux in arbitrary dimensional Minkowski space. The theory is formulated in…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , V. A. Krykhtin , H. Takata

We review the structure of local Lagrangians and field equations for free bosonic and fermionic gauge fields of mixed symmetry in flat space. These are first presented in a constrained setting extending the metric formulation of linearized…

High Energy Physics - Theory · Physics 2021-02-24 Andrea Campoleoni

We develop the frame-like formulation of massive bosonic higher spins fields in the case of 3-dimensional $(A)dS$ space with the arbitrary cosmological constant. The formulation is based on gauge-invariant description by involving the…

High Energy Physics - Theory · Physics 2015-06-05 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

Fermionic continuous spin field propagating in (A)dS space-time is studied. Gauge invariant Lagrangian formulation for such fermionic field is developed. Lagrangian of the fermionic continuous spin field is constructed in terms of triple…

High Energy Physics - Theory · Physics 2017-10-06 R. R. Metsaev

We devise a unitary transformation that replaces the fermionic degrees of freedom of lattice gauge theories by (hard-core) bosonic ones. The resulting theory is local and gauge invariant, with the same symmetry group. The method works in…

Quantum Physics · Physics 2018-08-17 Erez Zohar , J. Ignacio Cirac

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

Free massless fermionic fields of arbitrary spins $s>0$ corresponding to totally (anti)symmetric tensor-spinor representations of the $SO(d-1)$ compact subgroup and in $d$-dimensional anti-de Sitter space are investigated. We propose the…

High Energy Physics - Theory · Physics 2010-04-06 R. R. Metsaev

We review the recently developed general gauge invariant approach to Lagrangian construction for massive higher spin fields in Minkowski and AdS spaces of arbitrary dimension. Higher spin Lagrangian, describing the dynamics of the fields…

High Energy Physics - Theory · Physics 2007-12-11 I. L. Buchbinder , V. A. Krykhtin

We give explicit construction for massive higher spin supermultiplets for the case of minimal supersymmetry in d=3 and find the corresponding Lagrangian formulations. We show that all such massive supermultiplets can be straightforwardly…

High Energy Physics - Theory · Physics 2015-10-02 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

Particular class of AdS(d) mixed-symmetry bosonic massless fields corresponding to arbitrary two-column Young tableaux is considered. Unique gauge invariant free actions are found and equations of motion are analyzed.

High Energy Physics - Theory · Physics 2009-11-10 K. B. Alkalaev

We propose a unified BRST formulation of general massless fermionic fields of arbitrary mixed-symmetry type in $d$-dimensional Minkowski space. Depending on the value of the real parameter the system describes either helicity fields or…

High Energy Physics - Theory · Physics 2018-12-05 K. B. Alkalaev , Alexander Chekmenev , Maxim Grigoriev

We review the structure of local Lagrangians and field equations for free bosonic and fermionic gauge fields of mixed symmetry in flat space. These are first presented in a constrained setting and then the ($\g$-)trace constraints on fields…

High Energy Physics - Theory · Physics 2009-05-26 Andrea Campoleoni

In this paper we show that using frame-like gauge invariant formulation for the massive bosonic and fermionic fields in three dimensions the free Lagrangians for these fields can be rewritten in the explicitly gauge invariant form in terms…

High Energy Physics - Theory · Physics 2016-08-24 Yu. M. Zinoviev

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…

High Energy Physics - Theory · Physics 2019-09-04 I. L. Buchbinder , M. V. Khabarov , T. V. Snegirev , Yu. M. Zinoviev

In this work we presented a number of explicit examples for the cubic vertices describing an interaction of massless spin-5/2 field with massive boson and fermion including all hypertransformations necessary for the vertices to be gauge…

High Energy Physics - Theory · Physics 2023-10-27 Yu. M. Zinoviev

In a recent paper arXiv:1107.1872 cubic gravitational interactions for a massless mixed symmetry field in AdS space have been constructed. In the current paper we extend these results to the case of massive field. We work in a…

High Energy Physics - Theory · Physics 2015-05-28 Yu. M. Zinoviev