KP integrability through the $x-y$ swap relation
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916729841516544 |
|---|---|
| author | Alexandrov, Alexander Bychkov, Boris Dunin-Barkowski, Petr Kazarian, Maxim Shadrin, Sergey |
| author_facet | Alexandrov, Alexander Bychkov, Boris Dunin-Barkowski, Petr Kazarian, Maxim Shadrin, Sergey |
| contents | We discuss a universal relation that we call the $x-y$ swap relation, which plays a prominent role in the theory of topological recursion, Hurwitz theory, and free probability theory. We describe in a very precise and detailed way the interaction of the $x-y$ swap relation and KP integrability. As an application, we prove a recent conjecture that relates some particular instances of topological recursion to the Mironov-Morozov-Semenoff matrix integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_12176 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | KP integrability through the $x-y$ swap relation Alexandrov, Alexander Bychkov, Boris Dunin-Barkowski, Petr Kazarian, Maxim Shadrin, Sergey Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems We discuss a universal relation that we call the $x-y$ swap relation, which plays a prominent role in the theory of topological recursion, Hurwitz theory, and free probability theory. We describe in a very precise and detailed way the interaction of the $x-y$ swap relation and KP integrability. As an application, we prove a recent conjecture that relates some particular instances of topological recursion to the Mironov-Morozov-Semenoff matrix integrals. |
| title | KP integrability through the $x-y$ swap relation |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2309.12176 |