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SUMMARY:Non-invertible self-duality symmetries on a tensor product Hilbert
  space - Nathanan Tantivasadakarn (Stony Brook University)
DTSTART:20251027T100000Z
DTEND:20251027T110000Z
UID:TALK236935@talks.cam.ac.uk
DESCRIPTION:When can a non-invertible symmetry in 1+1D admit a lattice rea
 lization on a tensor product Hilbert space? In this talk\, I will present 
 a construction that generates a family of non-invertible self-duality symm
 etries on the lattice. I will construct a generalization of the Ising/cloc
 k/Potts model which admits this self-duality symmetry\, extending the Kram
 ers-Wannier transformation beyond Abelian groups\, and study the phase dia
 gram in the simplest example. Along the way\, I will highlight the deep re
 lation between these self-duality symmetries and the cluster state.
LOCATION:Seminar Room 1\, Newton Institute
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