Singular modules for affine Lie algebras, and applications to irregular WZNW conformal blocks

• Published in: Selecta mathematica (Basel, Switzerland) Vol. 29; no. 1
• Main Authors: Felder, Giovanni, Rembado, Gabriele
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.02.2023; Springer Nature B.V
• Subjects: Algebra; Lie groups; Mathematics; Mathematics and Statistics; Modules; Affine Lie algebras; Conformal field theory; 17B10; Integrable quantum systems; 81T40; Isomonodromic deformations; 17B38; Irregular meromorphic connections

We give a mathematical definition of irregular conformal blocks in the genus-zero WZNW model for any simple Lie algebra, using coinvariants of modules for affine Lie algebras whose parameters match up with those of moduli spaces of irregular meromorphic connections: the open de Rham spaces. The Sega...