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Nathanan Tantivasadakarn (Stony Brook University)
Monday 27 October 2025, 10:00-11:00
Non-invertible self-duality symmetries on a tensor product Hilbert space
â ī¸ Important: BIDW02 - Diving Deeper into Defects: On the Intersection of Field Theory, Quantum Matter, and Mathematics
- đ¤ Speaker: Nathanan Tantivasadakarn (Stony Brook University)
- đ Date & Time: Monday 27 October 2025, 10:00 - 11:00
- đ Venue: Seminar Room 1, Newton Institute
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Abstract
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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