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In this paper, we present a second realization of the Weyl double copy (WDC) in four-dimensional algebraic type D spacetime. We show that any type D vacuum solution admits an algebraically general Maxwell scalar on the curved background…

High Energy Physics - Theory · Physics 2025-03-05 Weicheng Zhao , Pu-Jian Mao , Jun-Bao Wu

It is shown that Weyl spinors in 4D Minkowski space are composed of primary fields of half-integer conformal weights. This yields representations of fermionic 2-point functions in terms of correlators of primary fields with a factorized…

High Energy Physics - Theory · Physics 2015-06-26 Rainer Dick

We discuss the generalization of the Kerr-Schild (KS) formalism for general relativity and double field theory (DFT) to the heterotic DFT and supergravity. We first introduce a heterotic KS ansatz by introducing a pair of null O(d,d+G)…

High Energy Physics - Theory · Physics 2019-07-24 Wonyoung Cho , Kanghoon Lee

We consider high-derivative equations obtained setting to zero the divergence of the higher-spin curvatures in metric-like form, showing their equivalence to the second-order equations emerging from the tensionless limit of open string…

High Energy Physics - Theory · Physics 2012-11-19 Dario Francia

Scalar field theories in $\text{(A)dS}_{2}$ with integer scaling dimensions $\Delta = k+1$ are characterised by the existence of a pair of (anti-)holomorphic higher-spin currents. We explore the consequences of this to describe their…

High Energy Physics - Theory · Physics 2026-01-30 Calvin Y. -R. Chen , Lukas W. Lindwasser , Massimo Porrati

We present the consistent theory of a free massive spin-2 field with 5 degrees of freedom propagating in spacetimes with an arbitrary geometry. We obtain this theory via linearizing the equations of the ghost-free massive gravity expressed…

High Energy Physics - Theory · Physics 2018-07-18 Charles Mazuet , Mikhail S. Volkov

We present a historical optical foundation for stationary vacuum Kerr--Schild spacetimes on a flat background and interpret it in modern double-copy language. In this setting, a complex optical seed \(\rho=-\theta-i\omega\), built from the…

High Energy Physics - Theory · Physics 2026-05-26 Damien A. Easson , Michael J. Falato

We extend Shen's recent formulation (arXiv:1806.07388) of the classical double copy, based on explicit color-kinematic duality, to the case of finite-size sources with non-zero spin. For the case of spinning Yang-Mills sources, the most…

High Energy Physics - Theory · Physics 2020-02-26 Walter D. Goldberger , Jingping Li

Starting from the chiral first-order pure connection formulation of General Relativity, we put the field equations of GR in a strikingly simple evolution system form. The two dynamical fields are a complex symmetric tracefree 3x3 matrix…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Kirill Krasnov , Adam Shaw

We investigate the supersymmetric extension of the generalized Kerr-Schild ansatz (gKSA) in Double Field Theory (DFT) including first-order $\alpha'$ corrections. Supersymmetry plays a central role in constraining higher-derivative…

High Energy Physics - Theory · Physics 2026-01-07 Jesus A. Rodriguez

We develop the bivector formalism in higher dimensional Lorentzian spacetimes. We define the Weyl bivector operator in a manner consistent with its boost-weight decomposition. We then algebraically classify the Weyl tensor, which gives rise…

General Relativity and Quantum Cosmology · Physics 2010-01-06 A Coley , S Hervik

We study the constraints imposed by the existence of a single higher spin conserved current on a three dimensional conformal field theory. A single higher spin conserved current implies the existence of an infinite number of higher spin…

High Energy Physics - Theory · Physics 2011-12-06 Juan Maldacena , Alexander Zhiboedov

Recently, the generating system that describes interacting symmetric higher-spin gauge fields at the level of equations of motion was proposed. The interaction vertices it offers are 'off the mass shell' unless constrained by the prescribed…

High Energy Physics - Theory · Physics 2025-02-21 V. E. Didenko , M. A. Povarnin

The wave function in the quantum theory of the O(N) extended supersymmetric particle model describes a massless free field with spin N/2. This quantum theory is here exactly solved in terms of gauge fields in arbitrary even dimensions using…

High Energy Physics - Theory · Physics 2009-06-12 Robert Marnelius

There is a great number of higher-spin gravities in $3d$ that can have both finite and infinite spectra of fields and can be formulated as Chern-Simons theories. It was believed that this is impossible in higher dimensions, where…

High Energy Physics - Theory · Physics 2025-05-20 Mattia Serrani

The properties of Dirac gamma matrices in a four-dimensional space-time with the $(2,2)$ signature are studied. The basic spinors are classified, and the existence of Majorana-Weyl spinors is noted. Supersymmetry in $2 + 2$ dimensions is…

High Energy Physics - Theory · Physics 2012-08-27 S. V. Ketov , S. J. Gates, , H. Nishino

In this paper we consider the field equations for linearized gravity and other integer spin fields on the Kerr spacetime, and more generally on spacetimes of Petrov type D. We give a derivation, using the GHP formalism, of decoupled field…

General Relativity and Quantum Cosmology · Physics 2011-11-09 Steffen Aksteiner , Lars Andersson

This note supplements an earlier paper on conformal field theories. There it was shown how to construct tensor, spinor, and spinor-tensor primary fields in four dimensions from their counterparts in six dimensions, where conformal…

High Energy Physics - Theory · Physics 2015-06-11 Steven Weinberg

The $sp(2M)$ invariant unfolded system is considered in the periodic twistor-like spinor space. Complete set of non-trivial charges corresponding to the global symmetry compatible with the periodicity conditions is constructed. Residual…

High Energy Physics - Theory · Physics 2017-06-28 Y. O. Goncharov , M. A. Vasiliev

We begin with the time-dependent electric and magnetic dipole solution of Maxwell's equations in Minkowski space. This Maxwell field is then used to determine the behavior of the gravitational field (the Weyl tensor) as a second-order…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Tim Adamo , Ezra T Newman