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arXiv · 2501.10265

The complex Liouville string: the gravitational path integral

Scott Collier·Lorenz Eberhardt·Beatrix Mühlmann
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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.

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Scott Collier, Lorenz Eberhardt, Beatrix Mühlmann. 2025-01-17. The complex Liouville string: the gravitational path integral. https://doi.org/10.21468/scipostphys.19.4.115

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