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Flat self-dual gravity
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DOI：10.1007/JHEP08(2021)082.png)
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Abstract
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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 lightcone 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.
Keywords:
Scattering Amplitudes
Classical Theories of Gravity
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