Machine Learning Integrability in 1D and 2D Models of Gravity

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• Damian Mayorga Peña (University of the Witwatersrand)
• Thursday 09 November 2023, 14:30-15:30
• External.

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BLHW02 - Machine learning toolkits and integrability techniques in gravity

We construct deformed Breitenlohner-Maison linear systems to demonstrate the integrability of a class of 4D solutions of gravity coupled to U(1) gauge fields and neutral scalars subject to a scalar potential. These solutions also admit a 1D description. We cast the problem of writing a Lax pair for the 1D system in an ML amenable form. Consquently, we have generated numerical Lax pairs, which hint at the existence of a Lax pair rewriting, complementary to the deformed BM system. Joint work with G. Lopes Cardoso and S. Nampuri. 

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

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