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The complex Liouville string: the gravitational path integral
by Scott Collier, Lorenz Eberhardt, Beatrix Mühlmann
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/2501.10265v1 (pdf) |
| Date submitted: | 2025-02-11 14:53 |
| 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 give a rigorous definition of sine dilaton gravity in terms of the worldsheet theory of the complex Liouville string arXiv:2409.17246. The latter has a known exact solution that we leverage to explore the gravitational path integral of sine dilaton gravity - a quantum deformation of dS JT gravity that admits both AdS$_2$ and dS$_2$ vacua. We uncover that the gravitational path integral receives contributions from new saddles describing transitions between vacua in a third-quantized picture. We also discuss the sphere and disk partition function in this context and contrast our findings with other recent work on this theory.
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