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Related papers: Double Copy from Homotopy Algebras

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Motivated by the results of Anastasiou et al., we consider the convolutional double copy for BRST and anti-BRST covariant formulations of gravitational and gauge theories in more detail. We give a general BRST and anti-BRST invariant…

High Energy Physics - Theory · Physics 2022-11-23 Mahdi Godazgar , C. N. Pope , A. Saha , Haoyu Zhang

We show that the double copy of gauge theory amplitudes to $\mathcal{N}=0$ supergravity amplitudes extends from tree level to loop level. We first explain that color-kinematic duality is a condition for the Becchi-Rouet-Stora-Tyutin…

High Energy Physics - Theory · Physics 2021-05-14 Leron Borsten , Branislav Jurco , Hyungrok Kim , Tommaso Macrelli , Christian Saemann , Martin Wolf

We continue the program of using homotopy algebras to obtain off-shell, local and gauge redundant derivations of the double copy relations between gauge theory and gravity. We apply it to $N=1$ super-Yang-Mills theory in $D=10$ in order to…

High Energy Physics - Theory · Physics 2025-08-19 Roberto Bonezzi , Giuseppe Casale , Olaf Hohm

We give an explicit gauge invariant, off-shell and local double copy construction of gravity from Yang-Mills theory to quartic order. To this end we use the framework of homotopy algebras, and we identify a rich new algebraic structure…

High Energy Physics - Theory · Physics 2023-07-04 Roberto Bonezzi , Christoph Chiaffrino , Felipe Diaz-Jaramillo , Olaf Hohm

Color/kinematics duality and the double-copy construction have proved to be systematic tools for gaining new insight into gravitational theories. Extending our earlier work, in this paper we introduce new double-copy constructions for large…

High Energy Physics - Theory · Physics 2017-08-25 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

We consider `twin supergravities' - pairs of supergravities with $\mathcal{N}_+$ and $\mathcal{N}_-$ supersymmetries, $\mathcal{N}_+>\mathcal{N}_-$, with identical bosonic sectors - in the context of tensoring super Yang-Mills multiplets.…

High Energy Physics - Theory · Physics 2017-07-26 A. Anastasiou , L. Borsten , M. J. Duff , M. J. Hughes , A. Marrani , S. Nagy , M. Zoccali

We construct a simple Lorentz-invariant action for maximally supersymmetric self-dual Yang-Mills theory that manifests colour-kinematics duality. We also show that this action double copies to a known action for maximally supersymmetric…

High Energy Physics - Theory · Physics 2023-11-28 Leron Borsten , Branislav Jurco , Hyungrok Kim , Tommaso Macrelli , Christian Saemann , Martin Wolf

We realize off-shell, local and gauge invariant $N=8$ supergravity in $D=4$, to cubic order in fields, as the double copy of $N=4$ super Yang-Mills theory (SYM). Employing the homotopy algebra approach, we show that, thanks to a redundant…

High Energy Physics - Theory · Physics 2025-05-14 Roberto Bonezzi , Giuseppe Casale , Olaf Hohm

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

We construct off-shell vertex operators for the bosonic spinning particle. Using the language of homotopy algebras, we show that the full nonlinear structure of Yang-Mills theory, including its gauge transformations, is encoded in the…

High Energy Physics - Theory · Physics 2024-07-22 Roberto Bonezzi

Recently, a double-copy formalism was used to calculate gravitational radiation from classical Yang-Mills radiation solutions. This work shows that Yang-Mills theory coupled to a biadjoint scalar field admits a radiative double copy that…

High Energy Physics - Theory · Physics 2018-04-25 David Chester

We construct the pure gravity Becchi-Rouet-Stora-Tyutin (BRST) Einstein-Hilbert Lagrangian, to cubic order, using the BRST convolution product of two Yang-Mills theories, in conjunction with the Bern-Carrasco-Johansson (BCJ) double-copy.

High Energy Physics - Theory · Physics 2020-08-26 L. Borsten , S. Nagy

We compute the first nontrivial noncommutative correction to the Einstein-Hilbert Lagrangian, which arises from the double copy of noncommutative Yang-Mills theory (ncYM). We start by considering linear and quadratic $\theta$-corrections up…

High Energy Physics - Theory · Physics 2025-02-07 Larisa Jonke , Eric Lescano

Double Field Theory (DFT) can be constructed as the double copy of a Yang-Mills theory. In this work we extend this statement by including higher-derivative terms. Starting from a four-derivative extension of Yang-Mills whose double copy is…

High Energy Physics - Theory · Physics 2023-12-29 Eric Lescano , Gabriel Menezes , Jesús A. Rodríguez

The Weyl double copy is a formula relating solutions of scalar, gauge and gravity theories, and is related to the BCJ double copy for scattering amplitudes. The latter relates Yang-Mills theory to ${\cal N}=0$ supergravity, where an axion…

High Energy Physics - Theory · Physics 2023-05-24 Kymani Armstrong-Williams , Chris D. White

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

Conformal supergravity amplitudes are obtained from the double-copy construction using gauge-theory amplitudes, and compared to direct calculations starting from conformal supergravity Lagrangians. We consider several different theories:…

High Energy Physics - Theory · Physics 2018-10-17 Henrik Johansson , Gustav Mogull , Fei Teng

We show that scattering amplitudes in magical, symmetric or homogeneous N=2 Maxwell-Einstein supergravities can be obtained as double copies of two gauge theories, using the framework of color/kinematics duality. The left-hand-copy is N=2…

High Energy Physics - Theory · Physics 2017-08-28 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

We consider the double copy of massive Yang-Mills theory in four dimensions, whose decoupling limit is a nonlinear sigma model. The latter may be regarded as the leading terms in the low energy effective theory of a heavy Higgs model, in…

High Energy Physics - Theory · Physics 2021-09-09 Arshia Momeni , Justinas Rumbutis , Andrew J. Tolley

Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double copy. Albeit fully established at the tree level, its extension…

High Energy Physics - Theory · Physics 2022-11-30 Leron Borsten , Hyungrok Kim , Branislav Jurčo , Tommaso Macrelli , Christian Saemann , Martin Wolf
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