Scattering Amplitudes and The Cotton Double Copy

Emond, William T.; Moynihan, Nathan

doi:10.48550/arxiv.2202.10499

Cited by 6 publications

(7 citation statements)

References 51 publications

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“…It would also be interesting to adapt our formalism to threedimensional spacetimes, such as the Bañados-Teitelboim-Zanelli (BTZ) black hole [61], its quantum and de Sitter generalizations [62,63], or generalized three-dimensional solutions described in [64,65]. To this end, it would be worthwhile to also attempt to extend the Cotton double copy [66] to include external sources.…”

Section: Discussionmentioning

confidence: 99%

Einstein-Maxwell theory and the Weyl double copy

2023

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The Weyl double copy relates vacuum solutions in general relativity to Abelian gauge fields in Minkowski spacetime. In a previous work, we showed how the Weyl double copy can be extended to provide a treatment of external gravitational sources consistent with the classical Kerr-Schild double copy. Using this generalization, here we provide a complete double-copy analysis of electrovacuum Petrov type-D spacetimes. This includes the first analysis of the charged C metric, whose single-copy interpretation invokes the two-potential formalism of electrodynamics. We also present the first double-copy prescription for the Ricci spinor, which for nonaccelerating spacetimes, takes a form similar to the original double-copy relation for the Weyl spinor.

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Section: Discussionmentioning

confidence: 99%

Einstein-Maxwell theory and the Weyl double copy

2023

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“…It would also be interesting to adapt our formalism to three-dimensional spacetimes, such as the BTZ black hole [58], its quantum and de Sitter generalizations [59,60], or generalized threedimensional solutions described in [61,62]. To this end, it would be worthwhile to also attempt to extend the Cotton double copy [63] to include external sources.…”

Section: Discussionmentioning

confidence: 99%

Einstein-Maxwell theory and the Weyl double copy

Easson¹,

Manton²,

Svesko³

2022

Preprint

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The Weyl double copy relates vacuum solutions in general relativity to Abelian gauge fields in Minkowski spacetime. In a previous work, we showed how the Weyl double copy can be extended to provide a treatment of external gravitational sources consistent with the classical Kerr-Schild double copy. Using this generalization, here we provide a complete double copy analysis of electrovacuum Petrov type D spacetimes. This includes the first analysis of the charged C-metric, whose single copy interpretation invokes the two-potential formalism of electrodynamics. We also present the first double copy prescription for the Ricci spinor, which for non-accelerating spacetimes, takes a form similar to the original double copy relation for the Weyl spinor.

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“…[23,[62][63][64][65], and a novel three-dimensional counterpart of the Weyl double copy (the Cotton double copy) has recently been proposed in refs. [66,67]. Note that eq.…”

Section: Jhep12(2022)046mentioning

confidence: 99%

Why is the Weyl double copy local in position space?

Luna

Moynihan

White

2022

J. High Energ. Phys.

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The double copy relates momentum-space scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, where in some cases an exact double copy can be formulated directly in terms of products of fields in position space. This is seemingly at odds with the momentum-space origins of the double copy, and the question of why exact double copies are possible in position space — and when this form will break — has remained largely unanswered. In this paper, we provide an answer to this question, using a recently developed twistorial formulation of the double copy. We show that for certain vacuum type-D solutions, the momentum-space, twistor-space and position-space double copies amount to the same thing, and are directly related by integral transforms. Locality in position space is ultimately a consequence of the very special form of momentum-space three-point amplitudes, and we thus confirm suspicions that local position-space double copies are possible only for highly algebraically-special spacetimes.

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Scattering Amplitudes and The Cotton Double Copy

Cited by 6 publications

References 51 publications

Einstein-Maxwell theory and the Weyl double copy

Einstein-Maxwell theory and the Weyl double copy

Einstein-Maxwell theory and the Weyl double copy

Why is the Weyl double copy local in position space?

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