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Weyl curvature evolution system for GR (2023)
Journal Article
Krasnov, K., & Shaw, A. (2023). Weyl curvature evolution system for GR. Classical and Quantum Gravity, 40(7), Article 075013. https://doi.org/10.1088/1361-6382/acc0cc

Starting from the chiral first-order pure connection formulation of General Relativity, we put the field equations of GR in a strikingly simple evolution system form. The two dynamical fields are a complex symmetric tracefree 3 × 3 matrix Ψij, which... Read More about Weyl curvature evolution system for GR.

Higher-spin self-dual Yang-Mills and gravity from the twistor space (2023)
Journal Article
Herfray, Y., Krasnov, K., & Skvortsov, E. (2023). Higher-spin self-dual Yang-Mills and gravity from the twistor space. Journal of High Energy Physics, 2023, Article 158. https://doi.org/10.1007/jhep01%282023%29158

We lift the recently proposed theories of higher-spin self-dual Yang-Mills (SDYM) and gravity (SDGR) to the twistor space. We find that the most natural room for their twistor formulation is not in the projective, but in the full twistor space, which... Read More about Higher-spin self-dual Yang-Mills and gravity from the twistor space.