Solutions of the loop equations of a class of generalized Frobenius manifolds
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910571600805888 |
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| author | Liu, Si-Qi Qu, Haonan Wang, Yuewei Zhang, Youjin |
| author_facet | Liu, Si-Qi Qu, Haonan Wang, Yuewei Zhang, Youjin |
| contents | We prove the existence and uniqueness of solution of the loop equation associated with a semisimple generalized Frobenius manifold with non-flat unity, and show, for a particular example of one dimensional generalized Frobenius manifold, that the deformation of the Principal Hierarchy induced by the solution of the loop equation is the extended q-deformed KdV hierarchy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00373 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solutions of the loop equations of a class of generalized Frobenius manifolds Liu, Si-Qi Qu, Haonan Wang, Yuewei Zhang, Youjin Mathematical Physics Differential Geometry Exactly Solvable and Integrable Systems We prove the existence and uniqueness of solution of the loop equation associated with a semisimple generalized Frobenius manifold with non-flat unity, and show, for a particular example of one dimensional generalized Frobenius manifold, that the deformation of the Principal Hierarchy induced by the solution of the loop equation is the extended q-deformed KdV hierarchy. |
| title | Solutions of the loop equations of a class of generalized Frobenius manifolds |
| topic | Mathematical Physics Differential Geometry Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2402.00373 |