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Bibliographic Details
Main Authors: Savchenko, A., Zabrodin, A.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.10779
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Table of Contents:
  • Using the free fermions technique and non-abelian bosonization rules we introduce the multi-component Pfaff-Toda hierarchy. The tau-function is defined as vacuum expectation value of a Clifford group element of the algebra of Fermi-operators. A generating bilinear integral equation for the tau-function is obtained. A number of bilinear functional relations for the tau-function of the Hirota-Miwa type are derived as corollaries of the generating bilinear equation.