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We investigate the formulation of Vasiliev's four-dimensional higher-spin gravity in operator form, without making reference to one specific ordering. More precisely, we make use of the one-to-one mapping between operators and symbols…

High Energy Physics - Theory · Physics 2022-07-13 David De Filippi , Carlo Iazeolla , Per Sundell

We examine zero-form charges in Vasiliev's four-dimensional bosonic higher spin gravities. These are classical observables given by integrals over noncommutative twistor space of adjoint combinations of the zero-form master fields,…

High Energy Physics - Theory · Physics 2015-03-20 Nicolò Colombo , Per Sundell

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

We extend our program, of coupling theories to scale in order to make their Weyl invariance manifest, to include interacting theories, fermions and supersymmetric theories. The results produce mass terms coinciding with the standard ones…

High Energy Physics - Theory · Physics 2014-11-20 Abrar Shaukat , Andrew Waldron

We obtain exact black hole solutions for static and spherically symmetric sources in a Weyl conformal gauge theory of gravity. We consider a quadratic gravitational action built from the Weyl tensor within a dilation geometry. In a…

General Relativity and Quantum Cosmology · Physics 2025-09-29 Leandro A. Lessa , Caio F. B. Macedo , Manoel M. Ferreira

We present a no-go result on consistent Noether interactions among higher-spin gauge fields on anti-de Sitter space-times. We show that there is a non-local obstruction at the classical level to consistent interacting field theory…

High Energy Physics - Theory · Physics 2018-10-31 Charlotte Sleight , Massimo Taronna

We propose a self-contained description of Vasiliev higher-spin theories with the emphasis on nonlinear equations. The main sections are supplemented with some additional material, including introduction to gravity as a gauge theory; the…

High Energy Physics - Theory · Physics 2015-12-29 V. E. Didenko , E. D. Skvortsov

In spinor formalism, since any massless free-field spinor with spin higher than $1/2$ can be constructed with spin-1/2 spinors (Dirac-Weyl spinors) and scalars, we introduce a map between Weyl fields and Dirac-Weyl fields. We determine the…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Shanzhong Han

We explore non-Gaussian features of a massless spin-two field in the Vasiliev theory of higher-spin gravity. The theory contains an infinite tower of interacting gauge fields with increasing spin, and admits four-dimensional asymptotically…

High Energy Physics - Theory · Physics 2019-05-01 D. Anninos , V. De Luca , G. Franciolini , A. Kehagias , A. Riotto

This Thesis reviews Vasiliev's approach to Higher-Spin Gauge Theory and contains some original results concerning new exact solutions of the Vasiliev equations and the representation theory of the higher-spin algebra. The review part covers…

High Energy Physics - Theory · Physics 2008-07-03 Carlo Iazeolla

We study gauge fields of arbitrary spin in de Sitter space. These include Yang-Mills fields and gravitons, as well as the higher-spin fields of Vasiliev theory. We focus on antipodally symmetric solutions to the field equations, i.e. ones…

High Energy Physics - Theory · Physics 2019-12-03 Yasha Neiman

We construct an infinite-dimensional space of solutions to Vasiliev's equations in four dimensions that are asymptotic to AdS spacetime and superpose massless scalar particle modes over static higher spin black holes. Each solution is…

High Energy Physics - Theory · Physics 2017-11-22 Carlo Iazeolla , Per Sundell

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

We review various methods for finding exact solutions of higher spin theory in four dimensions, and survey the known exact solutions of (non)minimal Vasiliev's equations. These include instanton-like and black hole-like solutions in (A)dS…

High Energy Physics - Theory · Physics 2018-01-03 Carlo Iazeolla , Ergin Sezgin , Per Sundell

The wave function in the quantum theory of the O(N) extended supersymmetric particle model describes a massless free field with spin N/2. This quantum theory is here exactly solved in terms of gauge fields in arbitrary even dimensions using…

High Energy Physics - Theory · Physics 2009-06-12 Robert Marnelius

This paper presents the detailed, standard treatment of a simple, gauge invariant action for Weyl and Weyl-like Cartan geometries outlined in a previous paper. In addition to the familiar scalar curvature squared and Maxwell terms, the…

General Relativity and Quantum Cosmology · Physics 2018-07-26 J. E. Rankin

Higher-derivative theories of free higher-spin fields are investigated focusing on their symmetries. Generalizing familiar two-derivative constrained formulations, we first construct less-constrained Einstein-like and Maxwell-like…

High Energy Physics - Theory · Physics 2015-06-11 Euihun Joung , Karapet Mkrtchyan

We develop a manifestly conformal approach to describe linearised (super)conformal higher-spin gauge theories in arbitrary conformally flat backgrounds in three and four spacetime dimensions. Closed-form expressions in terms of gauge…

High Energy Physics - Theory · Physics 2019-06-26 Sergei M. Kuzenko , Michael Ponds

We analyze the Weyl invariance constraints on higher spin vertex operators in open superstring theory describing massless higher spin gauge field excitations in d-dimensional space-time. We show that these constraints lead to low-energy…

High Energy Physics - Theory · Physics 2015-06-16 Dimitri Polyakov

Using ambient space we develop a fully gauge and o(d,2) covariant approach to boundary values of AdS(d+1) gauge fields. It is applied to the study of (partially) massless fields in the bulk and (higher-order) conformal scalars, i.e.…

High Energy Physics - Theory · Physics 2015-06-15 Xavier Bekaert , Maxim Grigoriev
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