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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.19170 |
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| _version_ | 1866914889855926272 |
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| author | Yang, Di |
| author_facet | Yang, Di |
| contents | A theorem of Dubrovin establishes the relationship between the GUE partition function and the partition function of Gromov-Witten invariants of the complex projective line. Based on this theorem we derive loop equations for the Gaussian Unitary Ensemble (GUE) partition function. We show that the GUE partition function is equal to part of the topological partition function of the non-linear Schrödinger (NLS) Frobenius manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19170 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | GUE via Frobenius Manifolds. II. Loop Equations Yang, Di Mathematical Physics A theorem of Dubrovin establishes the relationship between the GUE partition function and the partition function of Gromov-Witten invariants of the complex projective line. Based on this theorem we derive loop equations for the Gaussian Unitary Ensemble (GUE) partition function. We show that the GUE partition function is equal to part of the topological partition function of the non-linear Schrödinger (NLS) Frobenius manifold. |
| title | GUE via Frobenius Manifolds. II. Loop Equations |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2407.19170 |