Unitarity of the KZ/Hitchin connection on conformal blocks in genus 0 for arbitrary Lie algebras

DOI10.1016/j.matpur.2012.02.008zbMath1277.14035arXiv1101.5846OpenAlexW2046023755WikidataQ60326247 ScholiaQ60326247MaRDI QIDQ456613

Prakash Belkale

Publication date: 16 October 2012

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5846

zbMATH Keywords

conformal blocksHitchin connectionKnizhnik-Zamolodchikov equationsnon-abelian theta functions

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) (14J80) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (5)

Rigid local systems and the multiplicative eigenvalue problem ⋮ Geometric positivity of the fusion products of unitary vertex operator algebra modules ⋮ Conformal blocks and cohomology in genus 0 ⋮ Conformal blocks from vertex algebras and their connections on \(\overline{\mathcal{M}}_{g,n}\) ⋮ Hyperplane arrangements and tensor product invariants

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