8 papers
Exploring Pintopia: Reflection Branes, Bordisms, and U-Dualities
Vivek Chakrabhavi, Arun Debray, Markus Dierigl +1
The U-dualities of maximally supersymmetric non-chiral supergravity (SUGRA) theories lead to strong constraints on the non-perturbative structure of quantum gravity. In this paper…
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…
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…
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…
Cobordism Utopia: U-Dualities, Bordisms, and the Swampland
Noah Braeger, Arun Debray, Markus Dierigl +2
The U-dualities of maximally supersymmetric supergravity theories lead to celebrated non-perturbative constraints on the structure of quantum gravity. They can also lead to the pre…
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…