The KZ equation and the quantum-group difference equation in quantum self-dual Yang–Mills theory

DOI10.1063/1.531596zbMath0869.39002arXivhep-th/9512122OpenAlexW3104474202MaRDI QIDQ5284819

Ling-Lie Chau, Itaru Yamanaka

Publication date: 31 August 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9512122

zbMATH Keywords

correlation functionsintegrable systemKnizhnik-Zamolodchikov equationsexchange algebrasgroup-valued local fieldsgroup-valued quantum fieldsquantum self-dual Yang-Mills theoryquantum-group difference equationquantum-group difference equationsquantum-group generators

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Additive difference equations (39A10)

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Current algebras and Wess-Zumino model in two dimensions
• Quantum affine algebras and holonomic difference equations
• Quantization of the self-dual Yang-Mills system: Exchange algebras and local quantum group in four-dimensional quantum field theories

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