Proving AGT relations in the large-c limit

2009/09/18 by А. Миронов, A. Mironov, А. Морозов +1 · 75 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Central charge #Computer science #Conformal map #Cosmology and Gravitation Theories #Function (biology) #Geometry #Hypergeometric function #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Point (geometry) #Pure mathematics #Set (abstract data type) #hep-th

paper · pdf · doi:10.1016/j.physletb.2009.10.074

published in Physics Letters B 682(1), 118-124 (Elsevier BV) · 8 pages

arxiv created 2009/09/18 · openalex publication_date 2009/10/30 · arxiv updated 2010/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the limit of large central charge c the 4-point Virasoro conformal block becomes a hypergeometric function. It is represented by a sum of chiral Nekrasov functions, which can also be explicitly evaluated. In this way the known proof of the AGT relation is extended from special to generic set of external states, but in the special limit of c=∞.

Citations

• Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
• The Exact Renormalization Group -- renormalization theory revisited --
• The power of Nekrasov functions
• Renormalization group in abstract QFT
• Infinite conformal symmetry in two-dimensional quantum field theory
• On N = 2 supersymmetric QCD with four flavors
• Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
• Conformal symmetry in two-dimensional space: Recursion representation of conformal block
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• The Calculus of Many Instantons

Cited by

• On AGT description of N = 2 SCFT with N f = 4
• Recursive representation of the torus 1-point conformal block