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Self-Dual Gravity
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Self-dual gravity is a diffeomorphism invariant theory in four dimensions that describes two propagating polarisations of the graviton and has a negative mass dimension coupling constant. Nevertheless, this theory is not only renormalisable but quantum finite, as we explain. We also collect various facts about self-dual gravity that are scattered across the literature.
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Forward citations
Cited by 2 Pith papers
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Amplitudes in self-dual (higher-spin) theories
All self-dual theories with or without higher-spin fields possess nontrivial tree-level amplitudes in Kleinian or complex Minkowski kinematics, completing the celestial analogue of the higher-spin duality.
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Self-dual gravity from higher-spin theory
Self-dual gravity with cosmological constant emerges uniquely as the rigid lower-spin sector of four-dimensional higher-spin interactions when only self-dual vertices are kept.
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