Research Paper#Theoretical Physics, Conformal Field Theory, Gauge Theory, AGT Correspondence🔬 ResearchAnalyzed: Jan 3, 2026 16:56
5D AGT Conjecture for Circular Quivers Explored
Published:Dec 29, 2025 21:36
•1 min read
•ArXiv
Analysis
This paper investigates the AGT correspondence, a relationship between conformal field theory and gauge theory, specifically in the context of 5-dimensional circular quiver gauge theories. It extends existing approaches using free-field formalism and integral representations to analyze both generic and degenerate conformal blocks on elliptic surfaces. The key contribution is the verification of equivalence between these conformal blocks and instanton partition functions and defect partition functions (Shiraishi functions) in the 5D gauge theory. This work provides a new perspective on deriving equations for Shiraishi functions.
Key Takeaways
- •Extends the AGT correspondence to 5D circular quiver gauge theories.
- •Uses free-field formalism and integral representations.
- •Verifies equivalence between conformal blocks and instanton/defect partition functions.
- •Provides a new approach to derive equations for Shiraishi functions.
Reference
“The paper checks equivalence with instanton partition function of a 5d circular quiver gauge theory...and with partition function of a defect in the same theory, also known as the Shiraishi function.”