Solutions of the sl2${\mathfrak {sl}_2}$qKZ equations modulo an integer

DOI10.1112/JLMS.12884arXiv2208.09721MaRDI QIDQ6124872

Evgenii E. Mukhin, Alexander Varchenko

Publication date: 10 April 2024

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.09721

zbMATH Keywords

hypergeometric solutions\textit{qKZ} difference equationsmultidimensional Barnes integrals

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Other functions coming from differential, difference and integral equations (33E30) Difference equations, scaling ((q)-differences) (39A13) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Integrable difference and lattice equations; integrability tests (39A36)

Cites Work

• Quantum affine algebras and holonomic difference equations
• Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras
• Solutions of KZ differential equations modulo \(p\)
• Finite temperature correlation functions from discrete functional equations

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