The complex Liouville string: the gravitational path integral

Fuente: arXiv
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Autori principali: Collier, Scott, Eberhardt, Lorenz, Mühlmann, Beatrix
Natura: Preprint
Pubblicazione: 2025
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author Collier, Scott
Eberhardt, Lorenz
Mühlmann, Beatrix
author_facet Collier, Scott
Eberhardt, Lorenz
Mühlmann, Beatrix
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_10265
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The complex Liouville string: the gravitational path integral
Collier, Scott
Eberhardt, Lorenz
Mühlmann, Beatrix
High Energy Physics - Theory
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.
title The complex Liouville string: the gravitational path integral
topic High Energy Physics - Theory
url https://arxiv.org/abs/2501.10265