The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order

Abstract

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.

arXiv comment20 pages

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Cited by in corpus (37)

• A Twistorial Foundation for the Classical Double Copy
• A new gauge-invariant double copy for heavy-mass effective theory
• Classical Solutions and their Double Copy in Split Signature
• Double Copy from Homotopy Algebras
• BRST-Lagrangian Double Copy of Yang-Mills Theory
• The convolutional double copy: a case study with a point
• A double copy for asymptotic symmetries in the self-dual sector
• Weyl doubling
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Double Field Theory as the Double Copy of Yang-Mills
• New heavenly double copies
• Classical Spin Gravitational Compton Scattering
• Gauge invariant double copy of Yang-Mills theory: the quartic theory
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• The Gauge Structure of Double Field Theory follows from Yang-Mills Theory
• Alternative formulations of the twistor double copy
• On the Lagrangian formulation of the double copy to cubic order
• Amplitudes, Hopf algebras and the colour-kinematics duality
• The double copy of the multipole expansion
• Why is the Weyl double copy local in position space?
• Non-perturbative aspects of the self-dual double copy
• Gauge independent kinematic algebra of self-dual Yang-Mills theory
• Higher-derivative Heterotic Double Field Theory and Classical Double Copy
• Kinematic Hopf algebra for amplitudes and form factors
• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• Gauge $\times$ Gauge $=$ Gravity on Homogeneous Spaces using Tensor Convolutions
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Double copy for Lagrangians at trilinear order
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• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• A spinorial double copy for $\mathcal{N}=0$ supergravity
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• The double copy: from optics to quantum gravity
• Next-to-MHV Yang-Mills kinematic algebra
• The Weyl double copy from twistor space
• NS-NS Spacetimes from Amplitudes
• The Kerr-Schild Double Copy in Lifshitz Spacetime