One dimensional Staggered Bosons, Clock models and their non-invertible symmetries

2023/10/31 by David Berenstein, Berenstein, David, P. N. Thomas Lloyd +1 · 1 citation
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced NMR Techniques and Applications #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Spectroscopy and Quantum Chemical Studies #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2311.00057

openalex publication_date 2023/10/31 · openalex created_date 2023/11/03 · openalex updated_date 2026/07/28

Abstract

We study systems of staggered boson Hamiltonians in a one dimensional lattice and in particular how the translation symmetry by one unit in these systems is in reality a non-invertible symmetry closely related to T-duality. We also study the simplest systems of clock models derived from these staggered boson Hamiltonians. We show that the non-invertible symmetries of these lattice models together with the discrete \mathbb Z_N symmetry predict that these are critical points with a U(1) current algebra at c=1 and radius √(2N) whenever N>4.

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