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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 provide an off-shell formulation of four-dimensional higher spin gravity based on a covariant Hamiltonian action on an open nine-dimensional Poisson manifold whose boundary consists of the direct product of spacetime and a noncommutative…

High Energy Physics - Theory · Physics 2016-03-29 Nicolas Boulanger , Ergin Sezgin , Per Sundell

We provide Vasiliev's fully nonlinear equations of motion for bosonic gauge fields in four spacetime dimensions with an action principle. We first extend Vasiliev's original system with differential forms in degrees higher than one. We then…

High Energy Physics - Theory · Physics 2015-05-27 Nicolas Boulanger , Per Sundell

Vasiliev equations facilitate globally defined formulations of higher-spin gravity in various correspondence spaces associated with different phases of the theory. In the four-dimensional case this induces a map from a generally covariant…

High Energy Physics - Theory · Physics 2015-05-20 Nicolo Colombo , Per Sundell

The minimal bosonic higher spin gauge theory in four dimensions contains massless particles of spin s=0,2,4,.. that arise in the symmetric product of two spin 0 singletons. It is based on an infinite dimensional extension of the AdS_4…

High Energy Physics - Theory · Physics 2009-11-07 E. Sezgin , P. Sundell

We review some aspects of biaxially symmetric solutions to Vasiliev's equations in four dimensional spacetime with negative cosmological constant. The solutions, which activate bosonic fields of all spins, are constructed using gauge…

High Energy Physics - Theory · Physics 2015-06-11 Carlo Iazeolla , Per Sundell

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

An action principle is presented for Vasiliev's Bosonic higher spin gauge theory in four spacetime dimensions. The action is of the form of a broken topological field theory, and arises by an extension of the MacDowell-Mansouri formulation…

High Energy Physics - Theory · Physics 2011-02-17 Nima Doroud , Lee Smolin

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

We study Vasiliev's higher-spin gravity in 3+1d. We formulate the theory in the so-called compensator formalism, where the local isometry group SO(4,1) is reduced to the Lorentz group SO(3,1) by a choice of spacelike direction in an…

High Energy Physics - Theory · Physics 2017-05-30 Yasha Neiman

We review and extend some recent results concerning the analysis of spacetime singularities in four-dimensional higher spin gravity, summarizing how the coupling of the gravitational field to massless higher spins may provide resolution…

High Energy Physics - Theory · Physics 2022-05-03 Carlo Iazeolla , Per 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

We develop tools for the efficient evaluation of Wilson lines in 3D higher spin gravity, and use these to compute entanglement entropy in the hs$[\lambda]$ Vasiliev theory that governs the bulk side of the duality proposal of Gaberdiel and…

High Energy Physics - Theory · Physics 2016-03-23 Ashwin Hegde , Per Kraus , Eric Perlmutter

Conformal geometry is studied using the unfolded formulation \`a la Vasiliev. Analyzing the first-order consistency of the unfolded equations, we identify the content of zero-forms as the spin-two off-shell Fradkin-Tseytlin module of…

High Energy Physics - Theory · Physics 2022-01-05 Euihun Joung , Min-gi Kim , Yujin Kim

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

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 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

We review a new perspective on higher-spin holography, whereby Vasiliev's 4D higher-spin gravity emerges together with a 3D counterpart, consisting of coloured conformal matter fields coupled to topological conformal higher-spin and colour…

High Energy Physics - Theory · Physics 2025-11-11 Carlo Iazeolla , Per Sundell

The one-loop Euclidean partition function on the sphere is known to exhibit a nontrivial phase for massless fields of spin greater than one. Such a phase appears to be in tension with a state counting interpretation of the partition…

High Energy Physics - Theory · Physics 2026-01-22 Simone Giombi , Zimo Sun

We consider minimal type-A higher-spin (HS) gravity in four dimensions, at tree level. We propose new diagrammatic rules for this theory, involving both Fronsdal fields and Didenko-Vasiliev (DV) particles - linearized versions of HS…

High Energy Physics - Theory · Physics 2023-05-10 Yasha Neiman
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