Research Paper#Theoretical Physics, Integrable Systems, Gauge Theory🔬 ResearchAnalyzed: Jan 3, 2026 06:24
Classical Integrability and Asymptotic Symmetries in 2D
Published:Dec 31, 2025 12:55
•1 min read
•ArXiv
Analysis
This paper explores the intersection of classical integrability and asymptotic symmetries, using Chern-Simons theory as a primary example. It connects concepts like Liouville integrability, Lax pairs, and canonical charges with the behavior of gauge theories under specific boundary conditions. The paper's significance lies in its potential to provide a framework for understanding the relationship between integrable systems and the dynamics of gauge theories, particularly in contexts like gravity and condensed matter physics. The use of Chern-Simons theory, with its applications in diverse areas, makes the analysis broadly relevant.
Key Takeaways
- •Explores the connection between classical integrability and asymptotic symmetries.
- •Uses Chern-Simons theory as a key example.
- •Reviews concepts like Liouville integrability and Lax pairs.
- •Connects canonical charges with gauge theory behavior under boundary conditions.
- •Applies the framework to 3D gravity with negative cosmological constant.
Reference
“The paper focuses on Chern-Simons theory in 3D, motivated by its applications in condensed matter physics, gravity, and black hole physics, and explores its connection to asymptotic symmetries and integrable systems.”