TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.2.034
TI  - The complex Liouville string: Worldsheet boundaries and non-perturbative effects
PY  - 2025/08/12
UR  - https://scipost.org/SciPostPhys.19.2.034
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 2
SP  - 034
A1  - Collier, Scott
AU  - Eberhardt, Lorenz
AU  - Mühlmann, Beatrix
AU  - Rodriguez, Victor A.
AB  - We investigate general observables of the complex Liouville string with worldsheet boundaries. We develop a universal formalism that reduces such observables to ordinary closed string amplitudes without boundaries, applicable to any worldsheet string theory, but particularly simple in the context of 2d or minimal string theories. We apply this formalism to the duality of the complex Liouville string with the matrix integral proposed in [SciPost Phys. 19, 033 (2025); SciPost Phys. 18, 154 (2025)] and showcase the formalism by finding appropriate boundary conditions for various matrix model quantities of interest, such as the resolvent or the partition function. We also apply this formalism towards the computation of non-perturbative effects on the worldsheet mediated by ZZ-instantons. These are known to be plagued by extra subtleties which need input from string field theory to resolve. These computations probe and uncover the duality between the complex Liouville string and the matrix model at the non-perturbative level.
ER  -

@Article{10.21468/SciPostPhys.19.2.034,
	title={{The complex Liouville string: Worldsheet boundaries and non-perturbative effects}},
	author={Scott Collier and Lorenz Eberhardt and Beatrix Mühlmann and Victor A. Rodriguez},
	journal={SciPost Phys.},
	volume={19},
	pages={034},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.2.034},
	url={https://scipost.org/10.21468/SciPostPhys.19.2.034},
}