The complex Liouville string: the matrix integral
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866908361069428736 |
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| author | Collier, Scott Eberhardt, Lorenz Mühlmann, Beatrix Rodriguez, Victor A. |
| author_facet | Collier, Scott Eberhardt, Lorenz Mühlmann, Beatrix Rodriguez, Victor A. |
| contents | We propose a duality between the complex Liouville string and a two-matrix integral. The complex Liouville string is defined by coupling two Liouville theories with complex central charges $c = 13 \pm i λ$ on the worldsheet. The matrix integral is characterized by its spectral curve which allows us to compute the perturbative string amplitudes recursively via topological recursion. This duality constitutes a controllable instance of holographic duality. The leverage on the theory is provided by the rich analytic structure of the string amplitudes that we discussed in arXiv:2409.18759 and allows us to perform numerous tests on the duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07345 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The complex Liouville string: the matrix integral Collier, Scott Eberhardt, Lorenz Mühlmann, Beatrix Rodriguez, Victor A. High Energy Physics - Theory Mathematical Physics Algebraic Geometry We propose a duality between the complex Liouville string and a two-matrix integral. The complex Liouville string is defined by coupling two Liouville theories with complex central charges $c = 13 \pm i λ$ on the worldsheet. The matrix integral is characterized by its spectral curve which allows us to compute the perturbative string amplitudes recursively via topological recursion. This duality constitutes a controllable instance of holographic duality. The leverage on the theory is provided by the rich analytic structure of the string amplitudes that we discussed in arXiv:2409.18759 and allows us to perform numerous tests on the duality. |
| title | The complex Liouville string: the matrix integral |
| topic | High Energy Physics - Theory Mathematical Physics Algebraic Geometry |
| url | https://arxiv.org/abs/2410.07345 |