activity
20232026
most citedBosonization and Anomaly Indicators of (2+1)-D Fermionic Topological Orders

3 citations · 5 across the 8 of their papers we have counts for

collaborators

8 papers

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…

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…

hep-th2025

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…

hep-th2025

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…

math-ph2025

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…

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…

math-ph2023★ 3 cited

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…

hep-th2023★ 2 cited

Global anomalies & bordism of non-supersymmetric strings

Ivano Basile, Arun Debray, Matilda Delgado +1

The three tachyon-free non-supersymmetric string theories in ten dimensions provide a handle on quantum gravity away from the supersymmetric lamppost. However, they have not been s…