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20232026
most citedHasse Diagrams for Gapless SPT and SSB Phases with Non-Invertible Symmetries

20 citations · 60 across the 12 of their papers we have counts for

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cond-mat.str-el2026

Twin Algebras: Condensable Algebras beyond Anyons

Yuhan Gai, Sakura Schafer-Nameki, Alison Warman

Condensable algebras in 2+1d non-chiral topological orders characterize gapped boundary conditions and interfaces. Applied to the Symmetry Topological Field Theory, they allow clas…

cond-mat.str-el2026

Twin Phases: Intrinsic Deconfined Quantum Criticality

Alison Warman, Yuhan Gai, Sakura Schafer-Nameki

We introduce the concept of twin phases for a symmetry , defined as inequivalent phases, whose order parameters are part of the same generalized charge under $\mathcal…

cond-mat.str-el2025★ 1 cited

Gapless Phases in (2+1)d with Non-Invertible Symmetries

Lakshya Bhardwaj, Yuhan Gai, Sheng-Jie Huang +4

The study of gapless phases with categorical (or so-called non-invertible) symmetries is a formidable task, in particular in higher than two space-time dimensions. In this paper we…

cond-mat.str-el2024★ 9 cited

Categorical Symmetries in Spin Models with Atom Arrays

Alison Warman, Fan Yang, Apoorv Tiwari +2

Categorical symmetries have recently been shown to generalize the classification of phases of matter, significantly broadening the traditional Landau paradigm. To test these predic…

cond-mat.str-el2024★ 20 cited

Hasse Diagrams for Gapless SPT and SSB Phases with Non-Invertible Symmetries

Lakshya Bhardwaj, Daniel Pajer, Sakura Schafer-Nameki +1

We discuss (1+1)d gapless phases with non-invertible global symmetries, also referred to as categorical symmetries. This includes gapless phases showing properties analogous to gap…