Abstract
The Weyl double copy is a procedure for relating exact solutions in biadjoint scalar, gauge and gravity theories, and relates fields in spacetime directly. Where this procedure comes from, and how general it is, have until recently remained mysterious. In this paper, we show how the current form and scope of the Weyl double copy can be derived from a certain procedure in twistor space. The new formalism shows that the Weyl double copy is more general than previously thought, applying in particular to gravity solutions with arbitrary Petrov types. We comment on how to obtain anti-self-dual as well as self-dual fields, and clarify some conceptual issues in the twistor approach.
Highlights
A derivation of the Weyl double copy has been given [123], using ideas from twistor theory [124,125,126]
We show how the current form and scope of the Weyl double copy can be derived from a certain procedure in twistor space
We have examined the Weyl double copy that relates solutions of biadjoint scalar, gauge and gravity theories, using a twistor-space formalism initiated in ref
Summary
The Weyl double copy relies on the spinorial formalism of General Relativity and related theories. [132] in addition to the above references), this formalism is not necessarily known to all researchers working on the double copy or beyond, and the same can certainly be said about twistor theory. We will review key concepts in order to make our presentation self-contained, and to set up crucial notation needed for the rest of the paper
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