Nat Tantivasadakarn

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Dualities have long served as a powerful lens for understanding the structure of quantum many-body systems. In this talk, I will explore how the concept of duality has recently led to new insights into non-invertible symmetries --- a generalized notion of symmetry that goes beyond the familiar group framework. Focusing on one-dimensional spin chains, I will revisit the Kramers–Wannier duality of the transverse-field Ising model, its modern interpretation as a non-invertible symmetry, and then describe a broader construction that reveals new kinds of symmetry-protected topological phases and self-duality transformations. Throughout, I will emphasize how tensor networks provide a unifying and intuitive framework for visualizing and realizing these ideas on the lattice.

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Stony Brook
0.03
Contact: Simon Trebst