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We analyse the constraints imposed by gauge invariance on higher-order interactions between massless bosonic fields in three-dimensional higher-spin gravities. We show that vertices of quartic and higher order that are independent of the…

High Energy Physics - Theory · Physics 2019-10-02 Stefan Fredenhagen , Olaf Krüger , Karapet Mkrtchyan

This is a collection of my lecture notes on the higher-spin theory course given for students at the Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University. The goal of these lectures is to give an introduction…

High Energy Physics - Theory · Physics 2023-07-26 Dmitry Ponomarev

We examine in detail the higher spin fields which arise on the basic fuzzy sphere $S^4_N$ in the semi-classical limit. The space of functions can be identified with functions on classical $S^4$ taking values in a higher spin algebra…

High Energy Physics - Theory · Physics 2018-01-03 Marcus Sperling , Harold C. Steinacker

The recently proposed differential homotopy approach to the analysis of nonlinear higher spin theory is developed. The Ansatz is extended to the form applicable in the second order of the perturbation theory and general star-multiplication…

High Energy Physics - Theory · Physics 2026-01-27 P. T. Kirakosiants , D. A. Valerev , M. A. Vasiliev

We analyze cubic spin 3 interaction in AdS space using the higher spin extension of string-theoretic sigma-model constructed in our previous work, which low energy limit is described by AdS vacuum. We find that, in the leading order of the…

High Energy Physics - Theory · Physics 2015-06-05 Dimitri Polyakov

We address the issue of consistent interactions for off-shell fermion fields of arbitrary spin. These interactions play a crucial role in the quantum hadrodynamical description of high-spin baryon resonances in hadronic processes. The…

Nuclear Theory · Physics 2015-03-19 Tom Vrancx , Lesley De Cruz , Jan Ryckebusch , Pieter Vancraeyveld

The mutual compatibility of the dynamical equations and constraints describing a massive particle of arbitrary spin, though essential for consistency, is generically lost in the presence of interactions. The conventional Lagrangian approach…

High Energy Physics - Theory · Physics 2015-06-16 Ignacio Cortese , Rakibur Rahman , M. Sivakumar

In this work we classify homogeneous solutions to the Noether procedure in (A)dS for an arbitrary number of external legs and in general dimensions. We also give a review of the corresponding flat space classification and its relation with…

High Energy Physics - Theory · Physics 2020-10-28 Euihun Joung , Massimo Taronna

I shortly describe semi-classical models of spinning electron and list a number of theoretical issues where these models turn out to be useful, see arXiv:1710.07135 for details. Then I discuss the possibility to extend the range of…

Quantum Physics · Physics 2020-12-01 Alexei A. Deriglazov

We construct an off-shell extension of cubic interaction vertices between massless bosonic Higher Spin fields on a flat background which can be obtained from perturbative bosonic string theory. We demonstrate how to construct higher quartic…

High Energy Physics - Theory · Physics 2010-11-23 A. Fotopoulos , M. Tsulaia

Cubic couplings between a complex scalar field and a tower of symmetric tensor gauge fields of all ranks are investigated on any constant curvature spacetime of dimension d>2. Following Noether's method, the gauge fields interact with the…

High Energy Physics - Theory · Physics 2010-11-30 Xavier Bekaert , Elisa Meunier

General aspects of higher-spin gauge theory and unfolded formulation are briefly recalled with some emphasize on the recent results on the breaking of $sp(8)$ symmetry by current interactions and construction of invariant functionals…

High Energy Physics - Theory · Physics 2016-11-23 M. A. Vasiliev

The higher spin interaction currents for the conformally coupled scalar in $AdS_{4}$ space for both regular and irregular boundary condition corresponding to the free and interacting critical point of the boundary O(N) sigma model are…

High Energy Physics - Theory · Physics 2009-11-10 R. Manvelyan , W. Ruehl

In this paper, we continue our investigation of gravitational interactions for massive higher spins extending our previous work on massive spin 3/2 and spin 2 to massive spin 5/2, including partially massless and massless limits. We use the…

High Energy Physics - Theory · Physics 2025-10-17 Yu. M. Zinoviev

Introductory lectures on higher-spin gauge theory given at 7 Aegean workshop on non-Einstein theories of gravity. The emphasis is on qualitative features of the higher-spin gauge theory and peculiarities of its space-time interpretation. In…

High Energy Physics - Theory · Physics 2015-06-19 M. A. Vasiliev

We consider systems of higher spin gauge fields that are described by a free field Lagrangian and one interaction of arbitrary order $N$ that is local and satisfies abelian gauge invariance. Such "solitary" interactions are derived from…

High Energy Physics - Theory · Physics 2012-02-15 Werner Ruehl

Relativistic particles with higher spin can be described in first quantization using actions with local supersymmetry on the worldline. First, we present a brief review of these actions and their use in first quantization. In a Dirac…

High Energy Physics - Theory · Physics 2015-07-15 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

Motivated by the generation of action principles from off-shell dualisation, we present a general class of free, topological theories in three dimensional Minkowski spacetime that exhibit higher-spin gauge invariance. In the spin-two case,…

High Energy Physics - Theory · Physics 2023-12-07 Nicolas Boulanger , Andrea Campoleoni , Victor Lekeu , Evgeny Skvortsov

We derive cubic interaction vertices for a class of higher-derivative theories involving three arbitrary integer spin fields. This derivation uses the requirement of closure of the Poincar\`e algebra in four-dimensional flat spacetime. We…

High Energy Physics - Theory · Physics 2024-05-14 Sudarshan Ananth , Nipun Bhave , Chetan Pandey , Saurabh Pant

We investigate cubic interactions between a chiral superfield and higher spin superfield corresponding to irreducible representations of the $4D,\, \mathcal{N}=1$ super-Poincar\'{e} algebra. We do this by demanding an invariance under the…

High Energy Physics - Theory · Physics 2017-12-29 I. L. Buchbinder , S. James Gates , Konstantinos Koutrolikos