Unitarity of SL(2)-conformal blocks in genus zero

DOI10.1016/j.geomphys.2009.02.003zbMath1165.32304arXiv0810.4310OpenAlexW2059674338MaRDI QIDQ1017432

Eduard Looijenga

Publication date: 19 May 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.4310

zbMATH Keywords

KZ systemSL(2)unitary structure

Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items

Conformal nets. II: Conformal blocks, Rigid local systems and the multiplicative eigenvalue problem, Compactifications of character varieties and skein relations on conformal blocks, Geometric positivity of the fusion products of unitary vertex operator algebra modules, Cox rings of moduli of quasi-parabolic principal bundles and the \(K\)-Pieri rule, The algebra of \(\mathrm{SL}_3(\mathbb{C})\) conformal blocks, Unitarity of the KZ/Hitchin connection on conformal blocks in genus 0 for arbitrary Lie algebras, Conformal blocks and cohomology in genus 0, Conformal blocks in the tensor product of vector representations and localization formulas, Hyperplane arrangements and tensor product invariants, Conformal blocks and rational normal curves

Cites Work

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• Erratum: Cohomology of local systems on the complement of hyperplanes
• Arrangements of hyperplanes and Lie algebra homology
• On algebraic equations satisfied by hypergeometric correlators in WZW models. I
• The `Harder-Narasimhan trace' and unitarity of the KZ/Hitchin connection: genus 0
• Théorie de Hodge. III
• Equations différentielles à points singuliers réguliers