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Related papers: Conformal Higher Spin Theory and Twistor Space Act…

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Higher-spin symmetry is known to mix lower-spin fields with higher-spin fields, creating a complex interaction picture where no closed finite field sector is expected to exist for dimensions greater than three. By studying the self-dual…

High Energy Physics - Theory · Physics 2026-05-13 V. E. Didenko , A. V. Korybut

The correspondence between stationary, axisymmetric, asymptotically flat space-times and bundles over a reduced twistor space has been established in four dimensions. The main impediment for an application of this correspondence to examples…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Norman Metzner

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 consistent interacting gauge theories for M conformal massless spin-2 fields ("Weyl gravitons") with the following properties: (i) in the free limit, each field fulfills the equation ${\cal B}^{\mu \nu} = 0$, where ${\cal…

High Energy Physics - Theory · Physics 2009-11-07 Nicolas Boulanger , Marc Henneaux , Peter van Nieuwenhuizen

The structure and the dynamics of massless higher spin fields in various dimensions are reviewed with an emphasis on conformally invariant higher spin fields. We show that in D=3,4,6 and 10 dimensional space-time the conformal higher spin…

High Energy Physics - Theory · Physics 2009-11-11 I. Bandos , X. Bekaert , J. A. de Azcarraga , D. Sorokin , M. Tsulaia

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 give a self-contained derivation of the MHV amplitudes for gravity and use the associated twistor generating function to define a twistor action for the MHV diagram approach to gravity. Starting from a background field calculation on a…

High Energy Physics - Theory · Physics 2014-11-18 Lionel Mason , David Skinner

For any 4D split-signature conformal structure, there is an induced twistor distribution on the 5D space of all self-dual totally null 2-planes, which is $(2,3,5)$ when the conformal structure is not anti-self-dual. Several examples where…

Differential Geometry · Mathematics 2024-11-05 Pawel Nurowski , Katja Sagerschnig , Dennis The

We show that the equations of motion for (free) integer higher spin gauge fields can be formulated as twisted self-duality conditions on the higher spin curvatures of the spin-$s$ field and its dual. We focus on the case of four spacetime…

High Energy Physics - Theory · Physics 2018-02-02 Marc Henneaux , Sergio Hörtner , Amaury Leonard

We consider a free massless scalar field coupled to an infinite tower of background higher-spin gauge fields via minimal coupling to the traceless conserved currents. The set of Abelian gauge transformations is deformed to the non-Abelian…

High Energy Physics - Theory · Physics 2011-02-22 Xavier Bekaert , Euihun Joung , Jihad Mourad

We show that the Teukolsky connection, which defines generalized wave operators governing the behavior of massless fields on Einstein spacetimes of Petrov type D, has its origin in a distinguished conformally and GHP covariant connection on…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Bernardo Araneda

The correspondence of stationary, axisymmetric, asymptotically flat space-times and bundles over a reduced twistor space has been established in four dimensions. The main impediment for an application of this correspondence to examples in…

General Relativity and Quantum Cosmology · Physics 2012-07-03 Norman Metzner

Conformal Higher Spin Gravity is a higher spin extension of Weyl gravity and is a family of local higher spin theories, which was put forward by Segal and Tseytlin. We propose a manifestly covariant and coordinate-independent action for…

High Energy Physics - Theory · Physics 2023-02-21 Thomas Basile , Maxim Grigoriev , Evgeny Skvortsov

Massless spinning correlators in cosmology are extremely complicated. In contrast, the scattering amplitudes of massless particles with spin are very simple. We propose that the reason for the unreasonable complexity of these correlators…

High Energy Physics - Theory · Physics 2024-10-17 Daniel Baumann , Grégoire Mathys , Guilherme L. Pimentel , Facundo Rost

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

The aim of this paper is to study three dimensional Lorentzian conformal field theories in twistor space. We formulate the conformal Ward identities and solve for two and three point Lorentzian Wightman functions. We found that the Helicity…

High Energy Physics - Theory · Physics 2025-02-27 Aswini Bala , Sachin Jain , Dhruva K. S. , Deep Mazumdar , Vibhor Singh

We establish the relation of partition functions of conformal higher spin fields on Weyl equivalent spaces in $d=4$ dimension. We express the partition function of Weyl graviton and conformal higher spin fields as an integral over…

High Energy Physics - Theory · Physics 2022-04-27 Jyotirmoy Mukherjee

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 review aspects of twistor theory, its aims and achievements spanning thelast five decades. In the twistor approach, space--time is secondary with events being derived objects that correspond to compact holomorphic curves in a complex…

High Energy Physics - Theory · Physics 2017-11-01 Michael Atiyah , Maciej Dunajski , Lionel Mason

We study the chiral higher-spin symmetry algebras $\mathfrak{ca}$ of various twistorial higher-spin theories. These symmetries play the roles of asymptotic symmetries on the celestial twistor sphere, which constrain the observables of…

High Energy Physics - Theory · Physics 2025-12-30 Tung Tran