TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.5.154
TI  - The complex Liouville string: The matrix integral
PY  - 2025/05/13
UR  - https://scipost.org/SciPostPhys.18.5.154
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 5
SP  - 154
A1  - Collier, Scott
AU  - Eberhardt, Lorenz
AU  - Mühlmann, Beatrix
AU  - Rodriguez, Victor A.
AB  - We propose a duality between the complex Liouville string and a two-matrix integral. The complex Liouville string is defined by coupling two Liouville theories with complex central charges $c = 13 ± i \lambda$ on the worldsheet. The matrix integral is characterized by its spectral curve which allows us to compute the perturbative string amplitudes recursively via topological recursion. This duality constitutes a controllable instance of holographic duality. The leverage on the theory is provided by the rich analytic structure of the string amplitudes that we discussed in [arXiv:2409.18759] and allows us to perform numerous tests on the duality.
ER  -

@Article{10.21468/SciPostPhys.18.5.154,
	title={{The complex Liouville string: The matrix integral}},
	author={Scott Collier and Lorenz Eberhardt and Beatrix Mühlmann and Victor A. Rodriguez},
	journal={SciPost Phys.},
	volume={18},
	pages={154},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.5.154},
	url={https://scipost.org/10.21468/SciPostPhys.18.5.154},
}