Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912752690266112 |
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| author | Felder, Giovanni Hoppe, Jens |
| author_facet | Felder, Giovanni Hoppe, Jens |
| contents | We show that the discrete Painlevé-type equations arising from quantum minimal surfaces are equations for recurrence coefficients of orthogonal polynomials for indefinite hermitian products. As a consequence, we obtain an explicit formula for the initial conditions leading to positive solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06197 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces Felder, Giovanni Hoppe, Jens Mathematical Physics We show that the discrete Painlevé-type equations arising from quantum minimal surfaces are equations for recurrence coefficients of orthogonal polynomials for indefinite hermitian products. As a consequence, we obtain an explicit formula for the initial conditions leading to positive solutions. |
| title | Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2504.06197 |