Abstract
We construct a new covariant action for “flat” self-dual gravity in four space-time 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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ArXiv ePrint: 2106.01397
Research Associate of the Fund for Scientific Research — FNRS, Belgium (Evgeny Skvortsov).
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Krasnov, K., Skvortsov, E. Flat self-dual gravity. J. High Energ. Phys. 2021, 82 (2021). https://doi.org/10.1007/JHEP08(2021)082
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DOI: https://doi.org/10.1007/JHEP08(2021)082