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arXiv · 2106.01397

Flat Self-dual Gravity

Kirill Krasnov·Evgeny Skvortsov
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Abstract

We construct a new covariant action for "flat" self-dual gravity in four spacetime dimensions. The action has just one term, but when expanded around an appropriate background gives rise to a kinetic term and a cubic interaction. Upon imposing the light-cone gauge, the action reproduces the expected chiral interaction of Siegel. The new action is in many ways analogous to the known covariant action for self-dual Yang-Mills theory. There is also a sense in which the new self-dual gravity action exhibits the double copy of self-dual Yang-Mills structure.

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Kirill Krasnov, Evgeny Skvortsov. 2021-06-02. Flat Self-dual Gravity. https://doi.org/10.1007/jhep08(2021)082

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