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The Kerr-Schild double copy is a map between exact solutions of general relativity and Maxwell's theory, where the nonlinear nature of general relativity is circumvented by considering solutions in the Kerr-Schild form. In this paper, we…

High Energy Physics - Theory · Physics 2023-01-11 Gokhan Alkac , Mehmet Kemal Gumus , Mustafa Tek

We revisit the cutoff surface formulation of fluid-gravity duality in the context of the classical double copy. The spacetimes in this fluid-gravity duality are algebraically special, with Petrov type II when the spacetime is four…

High Energy Physics - Theory · Physics 2020-06-01 Cynthia Keeler , Tucker Manton , Nikhil Monga

We investigate the Lagrangian formulation of the double-copy correspondence between gauge theories and gravity, up to the cubic order. Building on the definition of the double-copy field as a convolution of two vectors, we obtain free…

High Energy Physics - Theory · Physics 2021-03-17 Pietro Ferrero , Dario Francia

Scattering amplitudes have the potential to provide new insights to the study of supergravity theories with gauged R-symmetry and Minkowski vacua. Such gaugings break supersymmetry spontaneously, either partly or completely. In this paper,…

High Energy Physics - Theory · Physics 2018-12-27 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

The double copy relates gravitational theories to the square of gauge theories. While it is well understood in flat backgrounds, its precise realisation around curved spacetimes remains an open question. In this paper, we construct a…

High Energy Physics - Theory · Physics 2025-01-17 Cameron Beetar , Mariana Carrillo González , Sumer Jaitly , Théo Keseman

The Hamiltonian analysis of the self-dual gauge gravity theory is carried out. The resulting canonical structure is equivalent to that of self-dual gravity.

General Relativity and Quantum Cosmology · Physics 2015-04-16 Steven Kerr

We present rigid supersymmetric backgrounds for three-dimensional N=2 supersymmetric gauge theories, comprising a two-parameter U(1)xU(1)-invariant deformed three-sphere, and their gravity duals. These are described by supersymmetric…

High Energy Physics - Theory · Physics 2015-06-16 Dario Martelli , Achilleas Passias

We investigate self-dualities in three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. The electric and magnetic theories share the same gauge group. The examples include $SU(2N)$, $SO(7)$ and $SO(8)$ with various matter…

High Energy Physics - Theory · Physics 2019-05-01 Keita Nii

We extend the Kerr-Schild double copy to the case of a probe particle moving in the Kerr-Schild background. In particular, we solve Wong's equations for a test color charge in a Coulomb non-Abelian potential ($\sqrt{\text{Schw}}$) and on…

High Energy Physics - Theory · Physics 2021-11-16 Riccardo Gonzo , Canxin Shi

Invariance in duality transformation, the self-dual property, has important applications in electromagnetic engineering. In the present paper, the problem of most general linear and local boundary conditions with self-dual property is…

Classical Physics · Physics 2020-03-09 Ismo V. Lindell , Ari Sihvola

We apply an algebraic double copy construction of gravity from gauge theory to three-dimensional (3D) Chern-Simons theory. The kinematic algebra ${\cal K}$ is the 3D de Rham complex of forms equipped, for a choice of metric, with a graded…

High Energy Physics - Theory · Physics 2024-08-20 Roberto Bonezzi , Felipe Diaz-Jaramillo , Olaf Hohm

The Weyl double copy is a relationship between classical solutions in gauge and gravity theories, and has previously been applied to vacuum solutions in both General Relativity and its generalisations. There have also been suggestions that…

High Energy Physics - Theory · Physics 2024-07-26 Kymani Armstrong-Williams , Nathan Moynihan , Chris D. White

The duality between color and kinematics was originally observed for purely adjoint massless gauge theories, and later found to hold even after introducing massive fermionic and scalar matter in arbitrary gauge-group representations. Such a…

High Energy Physics - Theory · Physics 2019-09-11 Henrik Johansson , Alexander Ochirov

We extend the perturbative classical double copy to the analysis of bound systems. We first obtain the leading order perturbative gluon radiation field sourced by a system of interacting color charges in arbitrary time dependent orbits, and…

High Energy Physics - Theory · Physics 2018-05-02 Walter D. Goldberger , Alexander K. Ridgway

We study S-duality transformations that mix the Riemann tensor with the field strength of a 3-form field. The dual of an (A)dS space time - with arbitrary curvature - is seen to be flat Minkowski space time, if the 3-form field has…

High Energy Physics - Theory · Physics 2009-11-10 U. Ellwanger

The classical double copy relations establish correspondence between exact gravity solutions and their counterparts in biadjoint and gauge theories. In this work, we investigate a peculiar case of double copy relations arising in exact…

General Relativity and Quantum Cosmology · Physics 2021-09-07 Emanuelis Lazauskas

The Weyl double copy relates exact solutions in general relativity to exact solutions in gauge theory, formulated in the spinorial language. To date, the Weyl double copy is understood and employed only for vacuum spacetimes, and hence only…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Damien A. Easson , Tucker Manton , Andrew Svesko

Starting from the new minimal multiplet of supergravity in $2+2$ dimensions, we construct two types of self-dual supergravity theories. One of them involves a self-duality condition on the Riemann curvature and implies the equations of…

High Energy Physics - Theory · Physics 2009-10-22 E. Bergshoeff , E. Sezgin

String compactifications with T-duality twists are revisited and the gauge algebra of the dimensionally reduced theories calculated. These reductions can be viewed as string theory on T-fold backgrounds, and can be formulated in a `doubled…

High Energy Physics - Theory · Physics 2009-12-15 C. M. Hull , R. A. Reid-Edwards

Geometric structure of spherically-symmetric space-time in metric-affine gauge theory of gravity is studied. Restrictions on curvature tensor and Bianchi identities are obtained. By using certain simple gravitational Lagrangian the solution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. V. Minkevich , Yu. G. Vasilevski