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Related papers: The Vasiliev Grassmannian

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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

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

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 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 introduce the orthogonal Grassmannian as a novel kinematic space for describing correlators of massless spinning fields in de Sitter space. By automatically encoding the constraints of conformal symmetry and current conservation, the…

High Energy Physics - Theory · Physics 2026-02-10 Mattia Arundine , Daniel Baumann , Mang Hei Gordon Lee , Guilherme L. Pimentel , Facundo Rost

We prove the formula for the complete tree-level $S$-matrix of $\mathcal{N}=8$ supergravity recently conjectured by two of the authors. The proof proceeds by showing that the new formula satisfies the same BCFW recursion relations that…

High Energy Physics - Theory · Physics 2014-05-02 Freddy Cachazo , Lionel Mason , David Skinner

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

In this paper we calculate the tree level three-point functions of Vasiliev's higher spin gauge theory in AdS4 and find agreement with the correlators of the free field theory of N massless scalars in three dimensions in the O(N) singlet…

High Energy Physics - Theory · Physics 2014-11-20 Simone Giombi , Xi Yin

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 revisit the computation of four-point wavefunction coefficients and correlators for external conformally coupled scalars exchanging a particle of generic mass and spin. Much of the phenomenology of cosmological collider physics in the…

High Energy Physics - Theory · Physics 2026-05-29 Mattia Arundine , Guilherme L. Pimentel

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

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

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 construct a double field theory coupled to the fields present in Vasiliev's equations. Employing the "semi-covariant" differential geometry, we spell a functional in which each term is completely covariant with respect to…

High Energy Physics - Theory · Physics 2016-07-14 Xavier Bekaert , Jeong-Hyuck Park

In this paper we simplify and extend previous work on three-point functions in Vasiliev's higher spin gauge theory in AdS4. We work in a gauge in which the space-time dependence of Vasiliev's master fields is gauged away completely, leaving…

High Energy Physics - Theory · Physics 2011-08-02 Simone Giombi , Xi Yin

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 provide global formulations of Vasiliev's four-dimensional minimal bosonic higher spin gravities by identifying structure groups, soldering one-forms and classical observables. In the unbroken phase, we examine how decorated Wilson loops…

High Energy Physics - Theory · Physics 2017-08-23 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

A dual formulation of the S Matrix for N=4 SYM has recently been presented, where all leading singularities of n-particle N^{k-2}MHV amplitudes are given as an integral over the Grassmannian G(k,n), with cyclic symmetry, parity and…

High Energy Physics - Theory · Physics 2015-05-14 Nima Arkani-Hamed , Freddy Cachazo , Clifford Cheung

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
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