Singular modules for affine Lie algebras, and applications to irregular WZNW conformal blocks
Open access
Date
2023-02Type
- Journal Article
Abstract
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 Segal–Sugawara representation of the Virasoro algebra is used to show that the spaces of irregular conformal blocks assemble into a flat vector bundle over the space of isomonodromy times à la Klarès, and we provide a universal version of the resulting flat connection generalising the irregular KZ connection of Reshetikhin and the dynamical KZ connection of Felder–Markov–Tarasov–Varchenko. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000593761Publication status
publishedExternal links
Journal / series
Selecta Mathematica. N.S.Volume
Pages / Article No.
Publisher
SpringerSubject
Affine Lie algebras; Conformal field theory; Irregular meromorphic connections; Integrable quantum systems; Isomonodromic deformationsOrganisational unit
03445 - Felder, Giovanni (emeritus) / Felder, Giovanni (emeritus)
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