# On the Lagrangian formulation of the double copy to cubic order

@article{Ferrero2020OnTL, title={On the Lagrangian formulation of the double copy to cubic order}, author={Pietro Ferrero and Dario Francia}, journal={Journal of High Energy Physics}, year={2020}, volume={2021}, pages={1-34} }

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 gravitational Lagrangians as products of two Yang-Mills Lagrangians, in a form amenable to be easily extended to the massive case. We discuss the origin of these results from tensionless strings and show the existence of gauge fixings that mix the two spin-one…

## 21 Citations

Double copy for Lagrangians at trilinear order

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We present a novel double-copy prescription for gauge fields at the Lagrangian level and apply it to the original double copy, couplings to matter and the soft theorem. The Yang-Mills…

Solutions in Nonlinear Electrodynamics and their double copy regular black holes

- Mathematics
- 2022

: We study solutions in non-linear electrodynamics (NED) and establish several general results. We show, that the SO (2) electric-magnetic duality symmetry is restrictive enough to allow for…

The gauge structure of double field theory follows from Yang-Mills theory

- MathematicsPhysical Review D
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We show that to cubic order double ﬁeld theory is encoded in Yang-Mills theory. To this end we use algebraic structures from string ﬁeld theory as follows: The L ∞ -algebra of Yang-Mills theory is…

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- Geology, PhysicsPhysical Review D
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We construct a double copy relation between the Cotton spinor and the dual ﬁeld strength spinor of topologically massive theories, as the three-dimensional analogue of the Weyl double copy. The…

Off-shell color-kinematics duality for Chern-Simons

- PhysicsJournal of High Energy Physics
- 2022

Abstract
Many gauge theories possess a hidden duality between color and kinematics in their on-shell scattering amplitudes. An open problem is to formulate an off-shell realization of the duality,…

Massive double copy in the high-energy limit

- PhysicsJournal of High Energy Physics
- 2022

Abstract
The exploration of the massive double copy is still in its infancy, and only a few examples in limited contexts are known. In this paper, we analyze the newly discovered double copy for…

Planar solutions of higher-spin theory. Nonlinear corrections

- PhysicsJournal of High Energy Physics
- 2022

Leading order higher-spin corrections to the linearized higher-spin black brane are analyzed in four dimensions. It is shown that the static solution that respects planar symmetry exists in the…

The off-shell recursion for gravity and the classical double copy for currents

- PhysicsJournal of High Energy Physics
- 2022

We construct the off-shell recursion for gravity and the graviton current for the perturbative double field theory (DFT). We first formulate the perturbative DFT, which is equivalent but simpler to…

Double field theory as the double copy of Yang-Mills theory

- PhysicsPhysical Review D
- 2022

We show that double field theory arises from the color-kinematic double copy of Yang-Mills theory. A precise double copy prescription for the Yang-Mills action at quadratic and cubic order is…

NS-NS Spacetimes from Amplitudes

- Physics
- 2021

Recent work has shown how on-shell three-point amplitudes in gauge theory and gravity, representing the coupling to massive particles, correspond in the classical limit to the curvature spinors of…

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