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quant-ph2026
Realizing Braided Fusion 2-Categories as (3+1)D Mixed-State Topological Orders
Ryohei Kobayashi, Abhinav Prem, Matthew Yu
We construct large families of mixed-state topological orders in (3+1)D, including intrinsically mixed-state topological orders. We realize these theories by relating the data para…
cond-mat.str-el2026
Sixteen-Fold Way for Fermionic Topological Orders
Ryohei Kobayashi, Abhinav Prem, Matthew Yu
Fermionic topological orders can host 't Hooft anomalies with no bosonic counterpart. We identify a new sixteen-fold family of (2+1)D fermionic topological orders, forming a fermio…
hep-th2026
Symmetric Gapped States and Symmetry-Enforced Gaplessness in 3-dimensions
Arun Debray, Matthew Yu, Weicheng Ye
We establish a comprehensive framework for characterizing the infrared (IR) phases of a fermionic quantum theory in three spatial dimensions, based on its quantum anomalies associa…