The Virasoro symmetries of the bigraded modified Toda hierarchy
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917957164072960 |
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| author | Yang, Yi |
| author_facet | Yang, Yi |
| contents | Modified Toda hierarchy is a two-component generalization of the 1st modified KP hierarchy, which has been widely applied to analyze constraints of the Toda hierarchy, including the B--Toda and C--Toda hierarchies. In this paper, we construct additional symmetries for the modified Toda hierarchy and derive the corresponding Adler-Shiota-van Moerbeke formula. In addition, we also show that $(N,M)$--bigraded modified Toda hierarchy(BMTH), which is a special reduction for modified Toda, possess additional symmetries that form a subalgebra of the Virasoro algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Virasoro symmetries of the bigraded modified Toda hierarchy Yang, Yi Exactly Solvable and Integrable Systems Mathematical Physics Modified Toda hierarchy is a two-component generalization of the 1st modified KP hierarchy, which has been widely applied to analyze constraints of the Toda hierarchy, including the B--Toda and C--Toda hierarchies. In this paper, we construct additional symmetries for the modified Toda hierarchy and derive the corresponding Adler-Shiota-van Moerbeke formula. In addition, we also show that $(N,M)$--bigraded modified Toda hierarchy(BMTH), which is a special reduction for modified Toda, possess additional symmetries that form a subalgebra of the Virasoro algebra. |
| title | The Virasoro symmetries of the bigraded modified Toda hierarchy |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2503.11303 |