2017/09/30 by Máté Lencsés, Fábio Novaes · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Central charge #Conformal field theory #Conformal map #Conformal symmetry #Context (archaeology) #Cosmology and Gravitation Theories #Entropy (arrow of time) #Geodesic #Mathematical analysis #Mathematical physics #Mathematics #Physics #Primary field #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep04(2018)096
published as JHEP 04 (2018) 096 · 32+10 pages, 2 figures; v3: upgraded notation, discussion on moduli space and monodromies, numerical and analytic checks; v2: added refs, fixed email
openalex publication_date 2018/04/01 · arxiv created 2018/05/08 · arxiv updated 2018/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract Classical conformal blocks appear in the large central charge limit of 2D Virasoro conformal blocks. In the AdS 3 / CFT 2 correspondence, they are related to classical bulk actions and used to calculate entanglement entropy and geodesic lengths. In this work, we discuss the identification of classical conformal blocks and the Painlevé VI action showing how isomonodromic deformations naturally appear in this context. We recover the accessory parameter expansion of Heun’s equation from the isomonodromic τ -function. We also discuss how the c = 1 expansion of the τ -function leads to a novel approach to calculate the 4-point classical conformal block.