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arXiv · hep-th/9312213

On a c-number quantum $τ$-function

A. Mironov·A. Morozov·L. Vinet
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Abstract

We first review the properties of the conventional $τ$-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 $τ$-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.

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A. Mironov, A. Morozov, L. Vinet. 1994-01-12. On a c-number quantum $τ$-function. https://doi.org/10.1007/bf01017328

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