Self-dual gravity in a curved background

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• Silvia Nagy (Durham University)
• Thursday 09 November 2023, 16:00-17:00
• External.

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BLHW02 - Machine learning toolkits and integrability techniques in gravity

I will show that self-dual gravity in Euclidean four-dimensional Anti-de Sitter space (AdS4) can be described by a scalar field with a cubic interaction written in terms of a deformed Poisson bracket, providing a remarkably simple generalisation of the Plebanski action for self-dual gravity in flat space. This implies a novel symmetry algebra in self-dual gravity, notably an AdS4 version of the so-called kinematic algebra. This provides a concrete starting point for defining the double copy for Einstein gravity in AdS4 by expanding around the self-dual sector. 

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

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