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We construct consistent bosonic higher-spin gauge theories in odd dimensions D>3 based on Chern-Simons forms. The gauge groups are infinite-dimensional higher-spin extensions of the Anti-de Sitter groups SO(D-1,2). We propose an invariant…

High Energy Physics - Theory · Physics 2008-11-26 Johan Engquist , Olaf Hohm

In this paper, a gauge invariant description of massive higher spin bosonic and fermionic particles in frame-like Lagrangian and unfolded formalism in (A)dS${}_4$ is built. A complete set of gauge invariant object is also constructed and…

High Energy Physics - Theory · Physics 2019-10-01 M. V. Khabarov , Yu. M Zinoviev

Inspired by the rich structure of covariant string field theory, we propose a minimal gauge invariant action for general massive integer spin n field. The action consists of four totally symmetric tensor fields of order respectively n, n-1,…

High Energy Physics - Theory · Physics 2019-05-01 Masako Asano

We propose and quantize a local, covariant gauge-field action that unifies the description of all free helicity and continuous-spin degrees of freedom in a simple manner. This is the first field-theory action of any kind for continuous spin…

High Energy Physics - Theory · Physics 2013-11-05 Philip Schuster , Natalia Toro

In this article, we quantize the Maxwell ("massless spin one") de Sitter field in a conformally invariant gauge. This quantization is invariant under the SO$_0(2,4)$ group and consequently under the de Sitter group. We obtain a new de…

General Relativity and Quantum Cosmology · Physics 2010-01-11 S. Faci , E. Huguet , J. Queva , J. Renaud

We give a simple classification of the independent $n$-point interaction vertices for bosonic higher-spin gauge fields in $d$-dimensional Minkowski space-times. We first give a characterisation of such vertices for large dimensions, $d \geq…

High Energy Physics - Theory · Physics 2020-07-15 Stefan Fredenhagen , Olaf Krüger , Karapet Mkrtchyan

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

We propose a description of continuous spin massless fields of mixed-symmetry type in Minkowski space at the level of equations of motion. It is based on the appropriately modified version of the constrained system originally used to…

High Energy Physics - Theory · Physics 2018-04-04 K. B. Alkalaev , M. A. Grigoriev

An action principle is presented for Vasiliev's Bosonic higher spin gauge theory in four spacetime dimensions. The action is of the form of a broken topological field theory, and arises by an extension of the MacDowell-Mansouri formulation…

High Energy Physics - Theory · Physics 2011-02-17 Nima Doroud , Lee Smolin

We provide a review of gauge field theories with higher spin, focusing on the classical theory of massless bosons in flat Minkowski spacetime. A brief introduction to the concept of spin is provided along with a historical review of some of…

High Energy Physics - Theory · Physics 2018-09-10 Ivan Vuković

In this paper, the ``massless" spin-$\frac{3}{2}$ fields in the de Sitter space are considered. This work is in the continuation of a previous paper devoted to the quantization of the de Sitter ``massive" spin-$\frac{3}{2}$ fields. Due to…

General Relativity and Quantum Cosmology · Physics 2015-06-18 A. Azizi , M. Amiri

We present a geometrical unification theory in a Kaluza-Klein approach that achieve the geometrization of a generic gauge theory bosonic component. We show how it is possible to derive the gauge charge conservation from the invariance of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 F. Cianfrani , A. Marrocco , G. Montani

In this paper we complete our construction of frame-like gauge invariant description for massive mixed symmetry tensor fields corresponding to arbitrary Young tableau with two rows started in [1]. We consider general massive theory in (A)dS…

High Energy Physics - Theory · Physics 2009-11-23 Yu. M. Zinoviev

The problem of constructing gauge-invariant actions for conformal higher-spin fields in curved backgrounds is known to be notoriously difficult. In this paper we present gauge-invariant models for conformal maximal depth fields with spin…

High Energy Physics - Theory · Physics 2020-05-29 Sergei M. Kuzenko , Michael Ponds

We construct the frame-like gauge-invariant Lagrangian formulation for massive fermionic arbitrary spin fields in three-dimensional $AdS$ space. The Lagrangian and complete set of gauge transformations are obtained. We also develop the…

High Energy Physics - Theory · Physics 2015-06-22 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

Massive spinning particle in $6d$-Minkowski space is described as a mechanical system with the configuration space $R^{5,1} \times CP^3$. The action functional of the model is unambiguously determined by the requirement of identical…

High Energy Physics - Theory · Physics 2016-09-06 S. L. Lyakhovich , A. A. Sharapov , K. M. Shekhter

We construct, for the first time, an off-shell supersymmetric continuous spin gauge theory in 4-dimensional Minkowski spacetime, in both constrained and unconstrained Lagrangian formulations. As an extension to the on-shell description [1],…

High Energy Physics - Theory · Physics 2022-02-08 Mojtaba Najafizadeh

By dimensional reduction of a massive supersymmetric B$\wedge $F theory, a manifestly N=1 supersymmetric completion of a massive antisymmetric tensor gauge theory is constructed in (2+1) dimensions. In the N=1-D=3 superspace, a new…

High Energy Physics - Theory · Physics 2014-11-18 M. A. M. Gomes , R. R. Landim , C. A. S. Almeida

Nonlinear field equations for the supersymmetric higher-spin gauge theory describing totally symmetric bosonic and fermionic massless fields along with hook-type bosonic fields of all spins in any space-time dimension are presented. One of…

High Energy Physics - Theory · Physics 2025-07-14 M. A. Vasiliev

We review our recent exact solution to four-dimensional higher spin gauge theory invariant under a higher spin extension of SO(3,1) and we comment on its cosmological interpretation. We find an effective Einstein-scalar field theory that…

High Energy Physics - Theory · Physics 2007-05-23 E. Sezgin , P. Sundell