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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.20349 |
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| _version_ | 1866929568321896448 |
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| author | Feigin, Misha Kaminski, Leo Strachan, Ian A. B. |
| author_facet | Feigin, Misha Kaminski, Leo Strachan, Ian A. B. |
| contents | The Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations have a rich structure related to the theory of Frobenius manifolds, with many known families of solutions. A Legendre transformation is a symmetry of the WDVV equations, introduced by Dubrovin. We explicitly compute the results of a Legendre transformation applied to $A_n$- and $B_n$-type multi-parameter rational solutions, relating them to known and new trigonometric solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20349 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Legendre transforms for type $A_{n}$ and $B_{n}$ $\vee$-systems Feigin, Misha Kaminski, Leo Strachan, Ian A. B. Mathematical Physics Exactly Solvable and Integrable Systems The Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations have a rich structure related to the theory of Frobenius manifolds, with many known families of solutions. A Legendre transformation is a symmetry of the WDVV equations, introduced by Dubrovin. We explicitly compute the results of a Legendre transformation applied to $A_n$- and $B_n$-type multi-parameter rational solutions, relating them to known and new trigonometric solutions. |
| title | Legendre transforms for type $A_{n}$ and $B_{n}$ $\vee$-systems |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2407.20349 |