Confluent KZ equations for {\mathfrak {sl}}_N with Poincaré rank 2 at infinity

DOI10.1088/1751-8113/44/28/285205zbMath1222.81188arXiv1002.2273OpenAlexW2523284172MaRDI QIDQ5198460

Juanjuan Sun, Hajime Nagoya

Publication date: 8 August 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2273

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (4)

\(\mathcal{W}_3 \) irregular states and isolated \( \mathcal{N}=2 \) superconformal field theories ⋮ Simply-laced quantum connections generalising KZ ⋮ Quantization of simply-laced isomonodromy systems by the quantum spectral curve method ⋮ Singular modules for affine Lie algebras, and applications to irregular WZNW conformal blocks

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