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A machine learning approach to duality in statistical physics

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BIDW04 - BIDs in the Age of AI

The notion of duality—the fact that a physical system enjoys surprisingly different  descriptions—is a key driver of modern theoretical physics. In this talk I will formulate the task of duality discovery in statistical physics as an optimisation problem that generalises the more standard one of fitting parameters in a Hamiltonian. I will show how a simple version of this problem can be solved to obtain an automated rediscovery of the celebrated Kramers-Wannier duality for the 2d Ising model. If time will permit, I will conclude with some preliminary results concerning more complicated models, and discuss how the framework could be applied to investigate unknown or poorly known dualities.

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

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