On a \(c\)-number quantum \(\tau\)-function

DOI10.1007/BF01017328zbMath0875.35091arXivhep-th/9312213OpenAlexW3125636646MaRDI QIDQ1920479

Luc Vinet, A. Yu. Morozov, Andrei Mironov

Publication date: 12 August 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9312213

zbMATH Keywords

finite-difference equations\(\tau\)-functions of the KP and Toda-lattice hierarchies\(q\)-free fieldsordinary free fieldsquantum \(\tau\)-functions

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) PDEs in connection with quantum mechanics (35Q40) Geometric quantization (53D50)

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Cites Work

• Quantum deformations of certain simple modules over enveloping algebras
• q-HYPERGEOMETRIC FUNCTIONS IN THE FORMALISM OF FREE FIELDS
• INTEGRABLE STRUCTURES IN MATRIX MODELS AND PHYSICS OF 2D GRAVITY
• GENERALIZED KAZAKOV-MIGDAL-KONTSEVICH MODEL: GROUP THEORY ASPECTS