On ac-number quantum ?-function

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1994Embargo end date: 01 Jan 1993 English Publisher:Springer Science and Business Media LLCJournal:Theoretical and Mathematical Physics, volume 100, pages 890-899 (issn: 0040-5779, eissn: 1573-9333,

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Authors: Mironov, A.; Morozov, A.; Vinet, L.;

doi: 10.1007/bf01017328 , 10.48550/arxiv.hep-th/9312213

On ac-number quantum ?-function

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Abstract

We first review the properties of the conventional $��$-functions of the KP and Toda-lattice hierarchies. A straightforward generalization is then discussed. It corresponds to passing from differential to finite-difference equations; it does not involve however the concept of operator-valued $��$-function nor the one associated with non-Cartanian (level $k\ne1$) algebras. The present study could be useful to understand better $q$-free fields and their relation to ordinary free fields.

12 pages, ITEP M-8/93, FIAN/TD-22/93, CRM-1934 (minor changes)

Keywords

High Energy Physics - Theory (hep-th), FOS: Physical sciences, Exactly Solvable and Integrable Systems (nlin.SI)

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