Self-dual classical higher-spin multicopy
Nikita Misuna, Dmitry Ponomarev, Alexander Solomin
TLDR
This paper extends the self-dual classical double copy to higher-spin theories using light-cone gauge prepotentials for Kerr-Schild spacetimes.
Key contributions
- Extends self-dual classical double copy to higher-spin theories.
- Utilizes light-cone gauge prepotentials for the higher-spin formulation.
- Enables higher-spin extensions for self-dual spacetimes in Kerr-Schild form.
- Reveals varied multicopy patterns for higher-spin Weyl tensors.
Why it matters
This work significantly advances our understanding of the classical double copy, extending its applicability to higher-spin systems. It provides a new framework for constructing higher-spin extensions of important spacetimes. The findings on Weyl tensors offer deeper insights into the structure of gravitational backgrounds.
Original Abstract
We show that the self-dual classical double copy can be straightforwardly extended to the higher-spin case when formulated in terms of light-cone gauge prepotentials. This allows us to construct a higher-spin extension for any self-dual spacetime that admits Kerr-Schild form. We also discuss the counterpart of this procedure at the level of Weyl tensors. We find that depending on the class of the original gravitational background higher-spin Weyl tensors may follow various multicopy patterns.
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