Generalized Kontsevich model, topological recursion, and $r$-spin theory
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914528098254848 |
|---|---|
| author | Guo, Shuai Ji, Ce Yang, Chenglang Zhang, Qingsheng |
| author_facet | Guo, Shuai Ji, Ce Yang, Chenglang Zhang, Qingsheng |
| contents | By employing polynomial-reduced KP integrability, combined with the string equation, this work establishes explicit relationships between the generalized Kontsevich model, the topological recursion of the spectral curve, and the geometry of moduli spaces of $r$-spin curves. For the generalized Kontsevich model with a polynomial potential, we derive an explicit formulation and provide a proof of these widely expected correspondences. Furthermore, the method is extended to the cases with admissible deformed potentials, where the corresponding geometric theory is a deformed version of $r$-spin theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02643 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Generalized Kontsevich model, topological recursion, and $r$-spin theory Guo, Shuai Ji, Ce Yang, Chenglang Zhang, Qingsheng Mathematical Physics Algebraic Geometry Exactly Solvable and Integrable Systems 14N35, 37K10 By employing polynomial-reduced KP integrability, combined with the string equation, this work establishes explicit relationships between the generalized Kontsevich model, the topological recursion of the spectral curve, and the geometry of moduli spaces of $r$-spin curves. For the generalized Kontsevich model with a polynomial potential, we derive an explicit formulation and provide a proof of these widely expected correspondences. Furthermore, the method is extended to the cases with admissible deformed potentials, where the corresponding geometric theory is a deformed version of $r$-spin theory. |
| title | Generalized Kontsevich model, topological recursion, and $r$-spin theory |
| topic | Mathematical Physics Algebraic Geometry Exactly Solvable and Integrable Systems 14N35, 37K10 |
| url | https://arxiv.org/abs/2605.02643 |