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The BRST approach is applied to the description of irreducible massless higher spins representations of the Poincare group in arbitrary dimensions. The total system of constraints in such theory includes both the first and the second class…

High Energy Physics - Theory · Physics 2009-10-31 A. Pashnev , M. Tsulaia

The bundles suitable for a description of higher-spin fields can be built in terms of a 2-spinor bundle as the basic `building block'. This allows a clear, direct view of geometric constructions aimed at a theory of such fields on a curved…

Mathematical Physics · Physics 2018-01-30 Daniel Canarutto

We provide a general scheme for dualizing higher-spin gauge fields in arbitrary irreducible representations of GL(D,R). We also give a recipe for constructing Fronsdal-like field equations and Lagrangians for such exotic fields.

High Energy Physics - Theory · Physics 2010-04-05 Xavier Bekaert , Nicolas Boulanger

In this paper we elaborate on the gauge invariant frame-like Lagrangian description for the wide class of the so-called infinite (or continuous) spin representations of Poincar\'e group. We use our previous results on the gauge invariant…

High Energy Physics - Theory · Physics 2018-03-14 M. V. Khabarov , Yu. M. Zinoviev

Lagrangians for massive, unconstrained, higher-spin bosons and fermions are proposed. The idea is to modify the geometric, gauge invariant Lagrangians describing the corresponding massless theories by the addition of suitable quadratic…

High Energy Physics - Theory · Physics 2008-11-26 D. Francia

Using Poincare parametrization of AdS space, we study massive totally symmetric arbitrary spin fields in AdS space of dimension greater than or equal to four. CFT adapted gauge invariant formulation for such fields is developed. Gauge…

High Energy Physics - Theory · Physics 2010-03-02 R. R. Metsaev

We discuss string spectra in the low-tension limit using the BRST formalism, with emphasis on the role of triplets of totally symmetric tensors and spinor-tensors and their generalizations to cases with mixed symmetry and to (A)dS…

High Energy Physics - Theory · Physics 2014-11-18 A. Sagnotti , M. Tsulaia

A construction of relativistic wave equations on the homogeneous spaces of the Poincar\'{e} group is given for arbitrary spin chains. Parametrizations of the field functions and harmonic analysis on the homogeneous spaces are studied. It is…

Mathematical Physics · Physics 2008-11-26 V. V. Varlamov

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

This paper is a sequel of arXiv:0810.4350 [hep-th], and is also devoted to the local "metric-like" unconstrained Lagrangians and field equations for higher-spin fields of mixed symmetry in flat space. Here we complete the previous…

High Energy Physics - Theory · Physics 2015-05-13 Andrea Campoleoni , Dario Francia , Jihad Mourad , Augusto Sagnotti

In this note we discuss some aspects of the frame formulation of conformal higher spins in three dimensions. We give some exact formulae for the coupled spin two - spin three part of the full higher spin theory and propose a star product…

High Energy Physics - Theory · Physics 2015-06-05 Bengt E. W. Nilsson

It was known for a long time that in d = 4 dimensions it is impossible to construct the Lagrangian for antisymmetric second rank spin-tensor that will be invariant under the gauge transformations with unconstrained spin-vector parameter.…

High Energy Physics - Theory · Physics 2009-04-17 Yu. M. Zinoviev

Totally symmetric continuous spin field propagating in (A)dS is studied. Lagrangian gauge invariant formulation for such field is developed. Lagrangian of continuous spin field is constructed in terms of double traceless tensor fields,…

High Energy Physics - Theory · Physics 2017-04-05 R. R. Metsaev

A modified formulation of the Electroweak Model with 3-dimensional spherical geometry in the target space is suggested. The {\it free} Lagrangian in the spherical field space along with the standard gauge field Lagrangian form the full…

Mathematical Physics · Physics 2015-05-18 N. A. Gromov

Conformal totally symmetric arbitrary spin bosonic fields in flat space-time of even dimension greater than or equal to four are studied. Second-derivative (ordinary-derivative) formulation for such fields is developed. We obtain gauge…

High Energy Physics - Theory · Physics 2015-05-13 R. R. Metsaev

Using BRST-BV formulation of relativistic dynamics, arbitrary spin massless and massive field propagating in flat space and arbitrary spin massless fields propagating in AdS space are considered. For such fields, BRST-BV Lagrangians…

High Energy Physics - Theory · Physics 2016-06-29 R. R. Metsaev

We review the application of BRST and BRST-BV approaches to construct the generic off-shell local Lorentz covariant cubic interaction vertices for irreducible massless and massive higher integer spin fields (as the candidates for massive…

High Energy Physics - Theory · Physics 2024-10-25 Alexander A. Reshetnyak

We show how implementing invariance under divergence-free gauge transformations leads to a remarkably simple Lagrangian description of massless bosons of any spin. Our construction covers both flat and (A)dS backgrounds and extends to…

High Energy Physics - Theory · Physics 2015-06-05 Andrea Campoleoni , Dario Francia

The theory of freely-propagating massless higher spins is usually formulated via gauge fields and parameters subject to trace constraints. We summarize a proposal allowing to forego them by introducing only a pair of additional fields in…

High Energy Physics - Theory · Physics 2015-06-26 D. Francia , A. Sagnotti

We construct a pseudo-Lagrangian that is invariant under rigid $E_{11}$ and transforms as a density under $E_{11}$ generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on…

High Energy Physics - Theory · Physics 2021-07-14 Guillaume Bossard , Axel Kleinschmidt , Ergin Sezgin