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Double Copy in AdS3 from Minitwistor Space

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arxiv 2410.23342 v3 pith:EZCFBRDO submitted 2024-10-30 hep-th gr-qc

Cameron Beetar , Mariana Carrillo González , Sumer Jaitly , Théo Keseman This is my paper · ORCID
classification hep-thgr-qc
keywords copydoublespacefindflatkerr-schildminitwistorrealisation
verification ladder T0 review T1 audit T2 compute T3 formal
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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 classical double copy for cohomology class representatives in the minitwistor space of hyperbolic spacetimes. We find that the realisation of a physical double copy requires that the masses of the different spinning fields are not equal, contrary to the flat space prescription. This leads to a position-space double copy for bulk-to-boundary propagators. We also show that in coordinate space, this implies the Cotton double copy for waves and warped black holes of Topologically Massive Gravity. We show that these are exact double copy relations by constructing their Kerr-Schild metrics and also analysing the Kerr-Schild double copy. Furthermore, we find that near the boundary the double copy relates the dual CFT currents.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 4d CFT Correlators from Ambitwistors

    hep-th 2026-06 conditional novelty 7.0 of 10

    Conserved spinning two- and three-point correlators in 4d CFTs are obtained from holomorphic contour integrals on ambitwistor space, with spin, parity, and even a conformally coupled scalar treated uniformly.

  2. Gleaning gravitational amplitudes -- a double copy for canceling dilatons

    hep-th 2025-01 conditional novelty 7.0 of 10

    An asymmetric double copy with a ghost-like sqrt-dilaton cancels dilaton contaminations in tree-level GR amplitudes with massive scalars up to six points, leaving a residual bubble ambiguity at one loop.

  3. Off-shell double copy theories in BV

    hep-th 2025-06 conditional novelty 6.0 of 10

    A BV-formalism construction gives off-shell double-copy actions for Chern-Simons, BF, and 2D Yang-Mills theories, with Kodaira-Spencer and Kähler gravity as natural examples.

  4. Pleba\'nski-Demia\'nski solutions in bigravity and Kerr-Schild double copy relations using an effective metric

    gr-qc 2024-12 conditional novelty 5.0 of 10

    A double Kerr-Schild ansatz in bigravity yields Plebanski-Demianski-type solutions whose double, single, and zeroth copy fields satisfy Maxwell and Klein-Gordon equations in Plebanski coordinates.

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