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We present new infinite-dimensional spaces of bi-axially symmetric asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher spin gravity, obtained by modifications of the Ansatz used in arXiv:1107.1217, which gave rise to…

High Energy Physics - Theory · Physics 2017-01-19 Per Sundell , Yihao Yin

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

The recently introduced anomaly-free twistor string in four dimensions is shown to be defined not just in flat but also in curved twistor space. Further, arguments are given that the classical limit of the corresponding string field theory,…

High Energy Physics - Theory · Physics 2021-04-15 Christian Kunz

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 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 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

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

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

The superspace formulation of the worldvolume action of twistor string models is considered. It is shown that for the Berkovits-Siegel closed twistor string such a formulation is provided by a N=4 twistor-like action of the tensionless…

High Energy Physics - Theory · Physics 2011-07-19 Igor A. Bandos , Jose A. de Azcarraga , Cesar Miquel-Espanya

In four spacetime dimensions, the classically integrable self-dual sectors of gauge theory and gravity have associated chiral algebras, which emerge naturally from their description in twistor space. We show that there are similar chiral…

High Energy Physics - Theory · Physics 2025-06-30 Tim Adamo , Iustin Surubaru

This paper studies the two-component spinor form of massive spin-3/2 potentials in conformally flat Einstein four-manifolds. Following earlier work in the literature, a non-vanishing cosmological constant makes it necessary to introduce a…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Giampiero Esposito , Giuseppe Pollifrone

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 express the scalar four-point function of minimal Vasiliev higher-spin gravity in de Sitter space as an integral over the orthogonal Grassmannian OGr(4,8). The full crossing-symmetric Vasiliev Grassmannian correlator is given by…

High Energy Physics - Theory · Physics 2026-03-27 Shounak De , Hayden Lee

We define twistorial topological strings by considering tt* geometry of the 4d N=2 supersymmetric theories on the Nekrasov-Shatashvili half-Omega background, which leads to quantization of the associated hyperKahler geometries. We show that…

High Energy Physics - Theory · Physics 2014-12-17 Sergio Cecotti , Andrew Neitzke , Cumrun Vafa

The two-twistor formulation of particle mechanics in D-dimensional anti-de Sitter space for D=4,5,7, which linearises invariance under the AdS isometry group Sp(4;K) for K=R,C,H, is generalized to the massless N-extended "spinning…

High Energy Physics - Theory · Physics 2018-02-14 Alex S. Arvanitakis , Alec E. Barns-Graham , Paul K. Townsend

Interacting AdS_4 higher spin gauge theories with N \geq 1 supersymmetry so far have been formulated as constrained systems of differential forms living in a twistor extension of 4D spacetime. Here we formulate the minimal N=1 theory in…

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

We discuss recent endeavours in connecting twistor theory to higher-spin theories and the IKKT- matrix model. Starting with a brief review on higher-spin algebra hs in four-dimensional target space, we elucidate how higher-spin symmetry can…

High Energy Physics - Theory · Physics 2022-12-07 Tung Tran

We develop ambitwistor string theories for 4 dimensions to obtain new formulae for tree-level gauge and gravity amplitudes with arbitrary amounts of supersymmetry. Ambitwistor space is the space of complex null geodesics in complexified…

High Energy Physics - Theory · Physics 2014-10-07 Yvonne Geyer , Arthur E. Lipstein , Lionel J. Mason

We lift the recently proposed theories of higher-spin self-dual Yang-Mills (SDYM) and gravity (SDGR) to the twistor space. We find that the most natural room for the twistor formulation of these theories is not in the projective, but in the…

High Energy Physics - Theory · Physics 2024-09-27 Yannick Herfray , Kirill Krasnov , Evgeny Skvortsov

Twistors in four dimensions d=4 have provided a convenient description of massless particles with any spin, and this led to remarkable computational techniques in Yang-Mills field theory. Recently it was shown that the same d=4 twistor…

High Energy Physics - Theory · Physics 2008-11-26 Itzhak Bars , Moises Picon
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