Modular Exercises for Four-Point Blocks - I

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Cheng, Miranda C.N., Gannon, Terry, Lockhart, Guglielmo
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212878
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Modular Exercises for Four-Point Blocks - I. Miranda C.N. Cheng, Terry Gannon and Guglielmo Lockhart. SIGMA 21 (2025), 013, 61 pages

The well-known modular property of the torus characters and torus partition functions of (rational) vertex operator algebras (VOAs) and 2d conformal field theories (CFTs) has been an invaluable tool for studying this class of theories. In this work, we prove that sphere four-point chiral blocks of r...