3 papers
hep-th2026
Symmetric Gapped States and Symmetry-Enforced Gaplessness in 3-dimension
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…
math-ph2025
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…
math.AT2024
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…