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Systematic Construction of Kramers-Wannier-like Dualities in Quantum Lattice Models from Integrability

High Energy Physics - Theory 2025-09-03 v1 Statistical Mechanics Mathematical Physics math.MP Exactly Solvable and Integrable Systems Quantum Physics

Abstract

The Kramers-Wannier duality introduces a well-known non-invertible symmetry in the critical transverse-field Ising model. In this work, we extend this concept to a broad class of quantum lattice models induced from integrability, providing explicit expressions for the Kramers-Wannier operators that can be systematically computed.

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Cite

@article{arxiv.2509.01853,
  title  = {Systematic Construction of Kramers-Wannier-like Dualities in Quantum Lattice Models from Integrability},
  author = {Rui-Dong Zhu},
  journal= {arXiv preprint arXiv:2509.01853},
  year   = {2025}
}

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6 pages