3 citations · 3 across the 6 of their papers we have counts for
7 papers
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…
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…
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…
How to Build Anomalous (3+1)d Topological Quantum Field Theories
Arun Debray, Weicheng Ye, Matthew Yu
We develop a systematic framework for constructing (3+1)-dimensional topological orders or topological quantum field theories (TQFTs) that realize specified anomalies of finite sym…
Global Structure in the Presence of a Topological Defect
Arun Debray, Weicheng Ye, Matthew Yu
We investigate the global structure of topological defects which wrap a submanifold in a quantum field theory defined on a closed manifold . The Pontryagin-Thom con…
Type IIA String Theory and tmf with Level Structure
Arun Debray, Matthew Yu
We look at a new string tangential structure first introduced by Devalapurkar and relate it to the condition of Diaconescu-Moore-Witten for type IIA string theory and M…
Bosonization and Anomaly Indicators of (2+1)-D Fermionic Topological Orders
Arun Debray, Weicheng Ye, Matthew Yu
We provide a mathematical proposal for the anomaly indicators of symmetries of (2+1)-d fermionic topological orders, and work out the consequences of our proposal in several nontri…