Research Paper#Knot Theory, Conformal Field Theory, Gauge Theory🔬 ResearchAnalyzed: Jan 3, 2026 19:12
Torus Knots, Minimal Models, and VOA Characters
Published:Dec 29, 2025 00:16
•1 min read
•ArXiv
Analysis
This paper revisits the connection between torus knots and Virasoro minimal models, extending previous work by leveraging the 3D-3D correspondence and bulk-boundary correspondence. It provides a new framework for understanding and calculating characters of rational VOAs, offering a systematic approach to derive these characters from knot complement data. The work's significance lies in bridging different areas of physics and mathematics, specifically knot theory, conformal field theory, and gauge theory, to provide new insights and computational tools.
Key Takeaways
- •Establishes a connection between torus knots and Virasoro minimal models.
- •Utilizes the 3D-3D and bulk-boundary correspondences.
- •Provides new expressions for characters of rational VOAs.
- •Offers a systematic algorithm for constructing characters from knot complement data.
Reference
“The paper provides new Nahm-sum-like expressions for the characters of Virasoro minimal models and other related rational conformal field theories.”