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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.01501 |
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| _version_ | 1866911912175861760 |
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| author | Borot, Gaëtan Wulkenhaar, Raimar |
| author_facet | Borot, Gaëtan Wulkenhaar, Raimar |
| contents | We exhibit the Kontsevich matrix model with arbitrary potential as a BKP tau-function with respect to polynomial deformations of the potential. The result can be equivalently formulated in terms of Cartan-Plücker relations of certain averages of Schur $Q$-function. The extension of a Pfaffian integration identity of de Bruijn to singular kernels is instrumental in the derivation of the result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_01501 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential Borot, Gaëtan Wulkenhaar, Raimar Mathematical Physics Exactly Solvable and Integrable Systems 37K10, 37K20, 15A15 We exhibit the Kontsevich matrix model with arbitrary potential as a BKP tau-function with respect to polynomial deformations of the potential. The result can be equivalently formulated in terms of Cartan-Plücker relations of certain averages of Schur $Q$-function. The extension of a Pfaffian integration identity of de Bruijn to singular kernels is instrumental in the derivation of the result. |
| title | A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems 37K10, 37K20, 15A15 |
| url | https://arxiv.org/abs/2306.01501 |