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This Thesis reviews some recent developments about higher-spin interactions in flat and constant curvature backgrounds. Particular attention is given to the ambient-space formulation of the problem, both at the cubic and at the quartic…

High Energy Physics - Theory · Physics 2012-11-08 Massimo Taronna

Consistent interactions with electromagnetism and gravity for mass $m$ particles of any spin are obtained. This is done by finding interactions which preserve the covariantized massive gauge symmetry present in recently constructed massive…

High Energy Physics - Theory · Physics 2024-08-12 Lukas W. Lindwasser

One of the possible approaches to the construction of massive higher spin interactions is to use their gauge invariant description based on the introduction of the appropriate set of Stueckelberg fields. Recently, the general properties of…

High Energy Physics - Theory · Physics 2021-09-01 M. V. Khabarov , Yu. M. Zinoviev

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

We constructed all possible kinematically allowed three-point interactions of two massless Dirac spinors with massive higher-spin bosons. In any $D$ spacetime, the interactions have been constructed using the projections of the higher spin…

High Energy Physics - Theory · Physics 2025-05-09 Kushal Chakraborty , Aakash Kumar , Arnab Rudra , Amey Yeole

A remarkable feature of the models with interactions exhibiting higher-spin (HS) gauge symmetries in $d>2$ is that their most symmetric vacua require (anti)-de Sitter (AdS) geometry rather than the flat one. In striking parallelism to what…

High Energy Physics - Theory · Physics 2011-08-03 Sergey Prokushkin , Mikhail Vasiliev

By introducing arbitrary parameters in the usual Fronsdal model, we find a region in the parameters space away from the ``Fronsdal point'' where we still have an irreducible description of massless particles of arbitrary integer spin $s\ge…

High Energy Physics - Theory · Physics 2025-10-10 D. Dalmazi , B. dos S. Martins

Till now most of the results on interaction vertices for massless higher spin fields were obtained in a metric-like formalism using completely symmetric (spin-)tensors. In this, the Lagrangians turn out to be very complicated and the main…

High Energy Physics - Theory · Physics 2014-11-21 Yu. M. Zinoviev

This paper is a letter-type version of hep-th/9806236. We discuss properties of non-linear equations of motion which describe higher-spin gauge interactions for massive spin-0 and spin-1/2 matter fields in 2+1 dimensional anti-de Sitter…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Prokushkin , Mikhail Vasiliev

We construct BRST operators for certain higher-spin extensions of the Virasoro algebra, in which there is a spin-$s$ gauge field on the world sheet, as well as the spin-2 gauge field corrresponding to the two-dimensional metric. We use…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , X. J. Wang

Assuming locality, Lorentz invariance and parity conservation we obtain a set of differential equations governing the 3-point interactions of massless bosons, which in turn determines the polynomial ring of these amplitudes. We derive all…

High Energy Physics - Theory · Physics 2019-01-23 Zhengdi Sun , Hui Xu , Yeuk-Kwan E. Cheung

We formulate a new model which describes higher-spin gauge interactions for matter fields in two dimensions. This model is a higher-spin generalization of d2 gravity and turns out to be integrable. No vanishing higher-spin current…

High Energy Physics - Theory · Physics 2009-10-28 Mikhail Vasiliev

We find a simple analytic solution in open string field theory which, in the on-shell limit, generates a tower of higher spin vertex operators in bosonic string theory. The solution is related to irregular off-shell vertex operators for…

High Energy Physics - Theory · Physics 2016-11-29 Dimitri Polyakov

We study the aspects of constructing the interactions for the higher spin fields in the framework of BRST approach. The main object of such an approach is BRST operator acting in the appropriate Fock space and building on the base of…

High Energy Physics - Theory · Physics 2023-11-14 I. L. Buchbinder , A. A. Reshetnyak

We propose a systematic procedure for extracting gauge invariant and gauge fixed actions for various higher-spin gauge field theories from covariant bosonic open string field theory. By identifying minimal gauge invariant part for the…

High Energy Physics - Theory · Physics 2015-06-11 Masako Asano

All independent interaction vertices involving massless (Fang--Fronsdal) fermions in three dimensions are classified, completing the classification of interactions of massless fields of any spin. Similarly to the bosonic case, we get no…

High Energy Physics - Theory · Physics 2024-04-02 Stefan Fredenhagen , Filipp Lausch , Karapet Mkrtchyan

We report on progress in formulating a field theory of tensionless strings in $AdS_3$, starting from the dual large-$N$ symmetric orbifold CFT. We propose a set of field equations which are gauge invariant under the higher spin algebra of…

High Energy Physics - Theory · Physics 2020-01-08 Joris Raeymaekers

We give an explicit superspace construction of higher spin conserved supercurrents built out of $4D,\mathcal{N}=1$ massless supermultiplets of arbitrary spin. These supercurrents are gauge invariant and generate a large class of cubic…

High Energy Physics - Theory · Physics 2018-08-29 I. L. Buchbinder , S. James Gates , Konstantinos Koutrolikos

We study the electromagnetic coupling of massless higher-spin fermions in flat space. Under the assumptions of locality and Poincare invariance, we employ the BRST-BV cohomological methods to construct consistent parity-preserving off-shell…

High Energy Physics - Theory · Physics 2015-06-05 Marc Henneaux , Gustavo Lucena Gomez , Rakibur Rahman

We construct gauge theory of interacting symmetric traceless tensor fields of all ranks s=0,1,2,3, ... which generalizes Weyl-invariant dilaton gravity to the higher spin case, in any dimension d>2. The action is given by the trace of the…

High Energy Physics - Theory · Physics 2010-04-05 A. Y. Segal