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The complex Liouville string: the matrix integral
by Scott Collier, Lorenz Eberhardt, Beatrix Mühlmann, Victor A. Rodriguez
Submission summary
| Authors (as registered SciPost users): | Scott Collier · Lorenz Eberhardt · Beatrix Mühlmann |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2410.07345v2 (pdf) |
| Date submitted: | 2025-02-11 14:43 |
| Submitted by: | Mühlmann, Beatrix |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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 $c = 13 \pm i \lambda$ 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.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
In refereeing