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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/2509.23588 |
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| _version_ | 1866911579054800896 |
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| author | Jimbo, Michio Kojima, Takeo |
| author_facet | Jimbo, Michio Kojima, Takeo |
| contents | We present an infinite set of non-local integrals of motion for deformed $W$-algebras of types $A_l, D_l$, and $E_{6,7,8}$. They can be regarded as a two-parameter deformation of trace of the monodromy matrix of the $g$-KdV theory. Commutativity of the non-local integrals of motion is shown in the case of $A_l$ and $D_l$ by a direct calculation. In the case of $E_{6,7,8}$ it is a conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23588 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-local integrals of motion for deformed $W$-algebras of types $g=A_l, D_l, E_{6,7,8}$ Jimbo, Michio Kojima, Takeo Quantum Algebra High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems Quantum Physics We present an infinite set of non-local integrals of motion for deformed $W$-algebras of types $A_l, D_l$, and $E_{6,7,8}$. They can be regarded as a two-parameter deformation of trace of the monodromy matrix of the $g$-KdV theory. Commutativity of the non-local integrals of motion is shown in the case of $A_l$ and $D_l$ by a direct calculation. In the case of $E_{6,7,8}$ it is a conjecture. |
| title | Non-local integrals of motion for deformed $W$-algebras of types $g=A_l, D_l, E_{6,7,8}$ |
| topic | Quantum Algebra High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems Quantum Physics |
| url | https://arxiv.org/abs/2509.23588 |