Non-invertible self-duality symmetries on a tensor product Hilbert space

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• Nathanan Tantivasadakarn (Stony Brook University)
• Monday 27 October 2025, 10:00-11:00
• Seminar Room 1, Newton Institute.

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BIDW02 - Diving Deeper into Defects: On the Intersection of Field Theory, Quantum Matter, and Mathematics

When can a non-invertible symmetry in 1+1D admit a lattice realization on a tensor product Hilbert space? In this talk, I will present a construction that generates a family of non-invertible self-duality symmetries on the lattice. I will construct a generalization of the Ising/clock/Potts model which admits this self-duality symmetry, extending the Kramers-Wannier transformation beyond Abelian groups, and study the phase diagram in the simplest example. Along the way, I will highlight the deep relation between these self-duality symmetries and the cluster state.

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

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