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We construct a first order parent field theory for free higher spin gauge fields on constant curvature spaces. As in the previously considered flat case, both Fronsdal's and Vasiliev's unfolded formulations can be reached by two different…

High Energy Physics - Theory · Physics 2009-11-11 Glenn Barnich , Maxim Grigoriev

Free massless higher-superspin superfields on the N=1, D=4 anti-de Sitter superspace are introduced. The linearized gauge transformations are postulated. Two families of dually equivalent gauge-invariant action functionals are constructed…

High Energy Physics - Theory · Physics 2011-12-21 S. M. Kuzenko , A. G. Sibiryakov

Killing spinor identities relate components of equations of motion to each other for supersymmetric backgrounds. The only input required is the field content and the supersymmetry transformations of the fields, as long as an on-shell…

High Energy Physics - Theory · Physics 2018-08-24 Federico Bonetti , Dietmar Klemm , Wafic A. Sabra , Peter Sloane

We review the construction of consistent higher-spin theories based on Chern-Simons actions. To this end we first introduce the required higher-spin algebras and discuss curvature and torsion tensors in an unconstrained way. Finally we…

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

We explain how all information about ambient component field spin assignments in higher-dimensional off-shell supersymmetry is accessibly coded in one-dimensional restrictions, known as shadows. We also explain how to determine whether the…

High Energy Physics - Theory · Physics 2009-11-13 Michael G. Faux , Gregory D. Landweber

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

We sum up two- and three-point amplitudes in the chiral higher-spin theory over helicities and find that these quite manifestly have the form of invariant traces of the flat space chiral higher-spin algebra. We consider invariant traces of…

High Energy Physics - Theory · Physics 2022-09-28 Dmitry Ponomarev

It is shown that the Schrodinger symmetry algebra of a free particle in d spatial dimensions can be embedded into a representation of the higher-spin algebra. The latter spans an infinite dimensional algebra of higher-order symmetry…

High Energy Physics - Theory · Physics 2016-07-27 Mauricio Valenzuela

We study the cubic vertices for Maxwell-like higher-spins in flat and (A)dS background spaces of any dimension. Reducibility of their free spectra implies that a single cubic vertex involving any three fields subsumes a number of couplings…

High Energy Physics - Theory · Physics 2017-05-24 Dario Francia , Gabriele Lo Monaco , Karapet Mkrtchyan

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

We derive a manifestly superconformally covariant unfolded formulation of the free (2,0) tensor multiplet in six spacetime dimensions. The unfolded system consists of an abelian two-form and an infinite-dimensional chiral zero-form…

High Energy Physics - Theory · Physics 2025-04-01 Carlo Iazeolla , Per Sundell , Brenno Carlini Vallilo

We apply the on-shell amplitude techniques in the domain of dark matter. Without evoking fields and Lagrangians, an effective theory for a massive spin-$S$ particle is defined in terms of on-shell amplitudes, which are written down using…

High Energy Physics - Phenomenology · Physics 2021-05-12 Adam Falkowski , Giulia Isabella , Camila S. Machado

We demonstrate that in addition to the usual fourth-rank superfield $(W_{a b c d})$ which describes the on-shell theory, a spinor superfield $(J_\a )$ can be introduced into the 11D geometrical tensors with engineering dimensions less or…

High Energy Physics - Theory · Physics 2012-08-27 Hitoshi Nishino , S. James Gates,

We construct simple unconstrained Lagrangian formulations for massless higher spin fields in flat space of arbitrary dimension and on anti de Sitter background. Starting from the triplet equations of Francia and Sagnotti, which describe a…

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

It was established long ago that SO(2) electric-magnetic duality is an {\em off-shell} symmetry of the free Maxwell theory, i.e., that it leaves invariant the action and not just the equations of motion. We review here that analysis and…

High Energy Physics - Theory · Physics 2014-03-14 Claudio Bunster , Marc Henneaux

In this work we construct an infinite class of four-point functions for massless higher-spin fields in flat space that are consistent with the gauge symmetry. In the Lagrangian picture, these reflect themselves in a peculiar non-local…

High Energy Physics - Theory · Physics 2015-05-30 M. Taronna

On the basis of our recent modifications of the Dirac formalism we generalize the Bargmann-Wigner formalism for higher spins to be compatible with other formalisms for bosons. Relations with dual electrodynamics, with the…

Mathematical Physics · Physics 2013-07-12 Valeriy V. Dvoeglazov

We focus on the geometrical reformulation of free higher spin supermultiplets in $4\rm{D},~\mathcal{N}=1$ flat superspace. We find that there is a de Wit-Freedman like hierarchy of superconnections with simple gauge transformations. The…

High Energy Physics - Theory · Physics 2021-01-04 I. L. Buchbinder , S. James Gates , K. Koutrolikos

We show that the smooth geometry of a hyperbolic 3-manifold emerges from a classical spin system defined on a 2d discrete lattice, and moreover show that the process of this "dimensional oxidation" is equivalent with the dimensional…

High Energy Physics - Theory · Physics 2012-08-29 Yuji Terashima , Masahito Yamazaki

Infinite set of higher spin conserved charges is found for the $sp(2M)$ symmetric dynamical systems in $\f{1}{2} M (M+1)$-dimensional generalized spacetime $\M_M$. Since the dynamics in $\M_M$ is equivalent to the conformal dynamics of…

High Energy Physics - Theory · Physics 2007-05-23 M. A. Vasiliev
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