Generalized Kramers-Wanier Duality from Bilinear Phase Map.

Authors

Linhao Li, Masaki Oshikawa, Han Yan

Published in

Physical review letters. Volume 136. Issue 24. Pages 240403. Jun 19, 2026.

Abstract

We present the bilinear phase map, a concept that generalizes the Kramers-Wannier transformation to investigate unconventional gapped phases of qudit spin chains. Encoding the transformation in a matrix, the bilinear phase map enables the exploration of a broader spectrum of generalized quantum phases and dualities, including the nonunitarity in duality transformations, and derivation of general noninvertible fusion rules. Furthermore, we obtain strong constraints on anomaly conditions of qudit models with a general class of duality symmetries. This establishes a microscopic anomaly classification for a broad class of lattice dualities.

PMID:
42412473
Bibliographic data and abstract were imported from PubMed on 07 Jul 2026.

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