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We study the problem of interacting theories with (partially)-massless and conformal higher spin fields without matter in three dimensions. A new class of theories that have partially-massless fields is found, which significantly extends…

High Energy Physics - Theory · Physics 2020-09-23 Maxim Grigoriev , Karapet Mkrtchyan , Evgeny Skvortsov

In a previous paper conformal gravity was derived by means of a precise action principle on the hypercone in the conformal space. Here it is shown that the same technique used to construct conformal spin two theory as represented by linear…

High Energy Physics - Theory · Physics 2008-06-02 Robert Marnelius

In this talk, we present some direct evidences of the Higher Spin/Vector Model correspondence. There are two particular examples we would like to address on. The first example concerns a constructive approach of four dimensional higher spin…

High Energy Physics - Theory · Physics 2013-04-16 Kewang Jin

We propose a covariant Hamiltonian action for the Prokushkin and Vasiliev's matter coupled higher spin gravity in three dimensions. The action is formulated on ${\cal X}_4 \times {\cal Z}_2$ where ${\cal X}_4$ is an open manifold whose…

High Energy Physics - Theory · Physics 2016-05-25 Roberto Bonezzi , Nicolas Boulanger , Ergin Sezgin , Per Sundell

We consider the twistor description of conformal higher spin theories and give twistor space actions for the self-dual sector of theories with spin greater than two that produce the correct flat space-time spectrum. We identify a ghost-free…

High Energy Physics - Theory · Physics 2017-11-22 Philipp Haehnel , Tristan McLoughlin

We present a complete solution to the problem of Formal Higher Spin Gravities --- formally consistent field equations that gauge a given higher spin algebra and describe free higher spin fields upon linearization. The problem is shown to be…

High Energy Physics - Theory · Physics 2019-05-01 A. A. Sharapov , E. D. Skvortsov

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 provide Vasiliev's four-dimensional bosonic higher-spin gravities with six families of exact solutions admitting two commuting Killing vectors. Each family contains a subset of generalized Petrov Type-D solutions in which one of the two…

High Energy Physics - Theory · Physics 2015-05-28 Carlo Iazeolla , Per Sundell

Nonlinear higher-spin equations in four dimensions admit a closed two-form that defines a gauge-invariant global charge as an integral over a two-dimensional cycle. In this paper we argue that this charge gives rise to partitions depending…

High Energy Physics - Theory · Physics 2017-04-04 V. E. Didenko , N. G. Misuna , M. A. Vasiliev

We provide a review of gauge field theories with higher spin, focusing on the classical theory of massless bosons in flat Minkowski spacetime. A brief introduction to the concept of spin is provided along with a historical review of some of…

High Energy Physics - Theory · Physics 2018-09-10 Ivan Vuković

Recent investigation of locality problem for higher-spin fields led to a vertex reconstruction procedure that involved elements of contraction of the original Vasiliev interaction algebra. Inspired by these results we propose the…

High Energy Physics - Theory · Physics 2022-12-08 V. E. Didenko

We observe that the partition function of the set of all free massless higher spins s=0,1,2,3,... in flat space is equal to one: the ghost determinants cancel against the "physical" ones or, equivalently, the (regularized) total number of…

High Energy Physics - Theory · Physics 2015-06-08 M. Beccaria , A. A. Tseytlin

We give a one-parameter family of exact solutions to four-dimensional higher-spin gauge theory invariant under a deformed higher-spin extension of SO(3,1) and parameterized by a zero-form invariant. All higher-spin gauge fields vanish,…

High Energy Physics - Theory · Physics 2010-04-05 E. Sezgin , P. Sundell

We report on an analysis of the Vasiliev construction for minimal bosonic higher-spin master fields with oscillators that are vectors of SO(D-1,2) and doublets of Sp(2,R). We show that, if the original master field equations are…

High Energy Physics - Theory · Physics 2007-05-23 A. Sagnotti , E. Sezgin , P. Sundell

N-point correlation functions of conserved currents and weight-two scalar operators of the three-dimensional free fermion vector model are found as invariants of the higher-spin symmetry in four-dimensional AdS. These are the correlators of…

High Energy Physics - Theory · Physics 2019-08-20 V. E. Didenko , Jianwei Mei , E. D. Skvortsov

In this paper, we use a version of the BF formulation of two-dimensional dilaton gravity that allows to define a gauge theory of the two-dimensional Poincar\'e or Maxwell algebras and several of their higher-spin generalisations, both of…

High Energy Physics - Theory · Physics 2026-04-10 Xavier Bekaert , Michel Pannier

We investigate generic flat-space higher spin theories in three dimensions and find a no-go result, given certain assumptions that we spell out. Namely, it is only possible to have at most two out of the following three properties:…

High Energy Physics - Theory · Physics 2015-06-19 D. Grumiller , M. Riegler , J. Rosseel

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 conjecture that Vasiliev's theory of higher spin gravity in four-dimensional de Sitter space (dS) is holographically dual to a three-dimensional conformal field theory (CFT) living on the spacelike boundary of dS at future timelike…

High Energy Physics - Theory · Physics 2011-08-31 Dionysios Anninos , Thomas Hartman , Andrew Strominger

We compute boundary three-point functions involving two scalars and a gauge field of arbitrary spin in the AdS vacuum of Vasiliev's higher spin gravity, for any deformation parameter \lambda. In the process, we develop tools for extracting…

High Energy Physics - Theory · Physics 2017-08-23 Martin Ammon , Per Kraus , Eric Perlmutter