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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.10779 |
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| _version_ | 1866915616534822912 |
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| author | Savchenko, A. Zabrodin, A. |
| author_facet | Savchenko, A. Zabrodin, A. |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10779 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multi-component Pfaff-Toda hierarchy within bilinear formalism Savchenko, A. Zabrodin, A. Mathematical Physics 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. |
| title | Multi-component Pfaff-Toda hierarchy within bilinear formalism |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2511.10779 |