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Killing spinors and non-vacuum Chen-Teo metrics

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TWT - Twistor theory

Killing spinors are solutions to the valence-2 twistor equation. Many remarkable properties of the Kerr solution originate in the existence of these objects. In Euclidean quantum gravity, the conjecture that Euclidean Kerr is the only AF instanton was proven to be false with the discovery of the Chen-Teo instanton in 2011. This is a rather complicated Ricci-flat geometry, and open problems include the extension of the solution to the non-vacuum regime. In this talk we address this problem by using Killing spinors and connections to the Toda system.

This talk is part of the Isaac Newton Institute Seminar Series series.

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