An extremely useful relation between the Kronecker delta and the Levi-Civita symbol.
The brackets mean that we completely anti-symmetrize in the indices m,npic.twitter.com/Hp8tK8qZ3D
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that's what I get for working in SL(2,C) for too long
Look also for the SL(2,C) gauge theory of gravity by Moshe Carmeli. He considers gravity as an SL(2,C) Yang-Mills theory in which he recovers the Newman-Penrose (NP) equations (also used to study e.g. gravtitational waves). He formulates GTR in concise elegant 2-spinor formalism.
wait no you're right
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