TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.4.115
TI  - The complex Liouville string: The gravitational path integral
PY  - 2025/10/28
UR  - https://www.scipost.org/SciPostPhys.19.4.115
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 4
SP  - 115
A1  - Collier, Scott
AU  - Eberhardt, Lorenz
AU  - Mühlmann, Beatrix
AB  - We give a rigorous definition of sine dilaton gravity in terms of the worldsheet theory of the complex Liouville string [S. Collier et al., Phys. Rev. Lett. 134, 251602 (2025)]. 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.
ER  -

@Article{10.21468/SciPostPhys.19.4.115,
	title={{The complex Liouville string: The gravitational path integral}},
	author={Scott Collier and Lorenz Eberhardt and Beatrix Mühlmann},
	journal={SciPost Phys.},
	volume={19},
	pages={115},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.4.115},
	url={https://scipost.org/10.21468/SciPostPhys.19.4.115},
}