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In this paper we construct an unfolded formulation for the massive higher spin N=1 supermultiplets in four dimensional AdS space. We use the same frame-like gauge invariant multispinor formalism that was used previously for their Lagrangian…

High Energy Physics - Theory · Physics 2020-02-26 M. V. Khabarov , Yu. M. Zinoviev

We show that truncating the exact renormalization group equations of free $U(N)$ vector models in the single-trace sector to the linearized level reproduces the Fronsdal equations on $AdS_{d+1}$ for all higher spin fields, with the correct…

High Energy Physics - Theory · Physics 2015-06-12 Kewang Jin , Robert G. Leigh , Onkar Parrikar

Dynamical localization of non-Abelian gauge fields in non-compact flat $D$ dimensions is worked out. The localization takes place via a field-dependent gauge kinetic term when a field condenses in a finite region of spacetime. Such a…

High Energy Physics - Theory · Physics 2019-12-06 Masato Arai , Filip Blaschke , Minoru Eto , Norisuke Sakai

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 derive a class of cubic interaction vertices for three higher spin fields, with integer spins $\lambda_1$, $\lambda_2$, $\lambda_3$, by closing commutators of the Poincar\'e algebra in four-dimensional flat spacetime. We find that these…

High Energy Physics - Theory · Physics 2014-08-29 Y. S. Akshay , Sudarshan Ananth

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

In Lagrangian gauge systems, the vector space of global reducibility parameters forms a module under the Lie algebra of symmetries of the action. Since the classification of global reducibility parameters is generically easier than the…

High Energy Physics - Theory · Physics 2016-01-01 Glenn Barnich , Xavier Bekaert , Maxim Grigoriev

In this paper we construct an unfolded formulation for the massive bosonic higher spins in three dimensions as well as for their partially massless limit of the maximal depth. We begin with the equations for the one-forms coming from the…

High Energy Physics - Theory · Physics 2016-02-17 Yu. M. Zinoviev

We use the Fradkin-Vasiliev procedure to construct the full set of non-abelian cubic vertices for totally symmetric higher spin gauge fields in anti-de Sitter space. The number of such vertices is given by a certain tensor-product…

High Energy Physics - Theory · Physics 2015-06-12 Nicolas Boulanger , Dmitry Ponomarev , E. D. Skvortsov

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 develop the BRST-BV approach to construct the general off-shell Lorentz covariant cubic, quartic, $e$-tic interaction vertices for irreducible higher spin fields on $d$-dimensional Minkowski space. We consider two different cases for…

High Energy Physics - Theory · Physics 2023-10-26 Alexander Reshetnyak

We first propose an alternative to Vasiliev's bosonic higher spin gravities in any dimension by factoring out a modified sp(2) gauge algebra. We evidence perturbative equivalence of the two models, which have the same spectrum of Fronsdal…

High Energy Physics - Theory · Physics 2017-12-11 Cesar Arias , Roberto Bonezzi , Per Sundell

We construct actions of higher spin fields interacting with gravity on AdS_5 backgrounds such that the Compton scattering amplitudes of the interaction are tree-level unitary. We then consider higher-spin fields in the Randall-Sundrum…

High Energy Physics - Theory · Physics 2008-11-26 Cristiano Germani , Arabella Schelpe

In these lectures we give an overview of the duality between gravitational theories of massless higher spin fields in AdS and large N vector models. We first review the original higher spin/vector model duality conjectured by Klebanov and…

High Energy Physics - Theory · Physics 2016-11-02 Simone Giombi

We give a systematic account of unconstrained free bosonic higher-spin fields on D-dimensional Minkowski and (Anti-)de Sitter spaces in the frame formalism. The generalized spin connections are determined by solving a chain of torsion-like…

High Energy Physics - Theory · Physics 2009-06-11 Johan Engquist , Olaf Hohm

We develop the BRST approach to Lagrangian construction for the massive integer higher spin fields in an arbitrary dimensional AdS space. The theory is formulated in terms of auxiliary Fock space. Closed nonlinear symmetry algebra of higher…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , V. A. Krykhtin , P. M. Lavrov

It is shown that a symmetric massless bosonic higher-spin field can be described by a traceless tensor field with reduced (transverse) gauge invariance. The Hamiltonian analysis of the transverse gauge invariant higher-spin models is used…

High Energy Physics - Theory · Physics 2008-11-26 E. D. Skvortsov , M. A. Vasiliev

We obtain a non-relativistic chiral massive higher-spin gravity in a deformed $AdS_3$ spacetime by applying a Lifshitz deformation and subsequent null reduction to chiral massless higher-spin gravity in $AdS_4$. Intriguingly, the vertices…

High Energy Physics - Theory · Physics 2025-11-27 Arpita Mitra , Debangshu Mukherjee , Tung Tran

In this paper, an explicit expression is obtained for the conformally invariant higher spin Laplace operator $\mathcal{D}_{\lambda}$, which acts on functions taking values in an arbitrary (finite-dimensional) irreducible representation for…

Mathematical Physics · Physics 2018-02-14 David Eelbode , Tim Raeymaekers , Matthias Roels

We examine the mass shell condition of the bosonic higher spin gauge models which are BRST deformations of the Fronsdal action in the BRST-antifield formalism. Assuming convergence of the infinite series of the deformation parameter, we…

High Energy Physics - Theory · Physics 2025-04-01 Ryota Fujii , Hiraki Kanehisa , Makoto Sakaguchi , Haruya Suzuki
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