TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.3.079
TI  - Non-perturbative topological string theory on compact Calabi-Yau 3-folds
PY  - 2024/03/19
UR  - https://scipost.org/SciPostPhys.16.3.079
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 3
SP  - 079
A1  - Gu, Jie
AU  - Kashani-Poor, Amir-Khian
AU  - Klemm, Albrecht
AU  - Mariño, Marcos
AB  - We obtain analytic and numerical results for the non-perturbative amplitudes of topological string theory on arbitrary, compact Calabi-Yau manifolds. Our approach is based on the theory of resurgence and extends previous special results to the more general case. In particular, we obtain explicit trans-series solutions of the holomorphic anomaly equations. Our results predict the all orders, large genus asymptotics of the topological string free energies, which we test in detail against high genus perturbative series obtained recently in the compact case. We also provide additional evidence that the Stokes constants appearing in the resurgent structure are closely related to integer BPS invariants.
ER  -

@Article{10.21468/SciPostPhys.16.3.079,
	title={{Non-perturbative topological string theory on compact Calabi-Yau 3-folds}},
	author={Jie Gu and Amir-Kian Kashani-Poor and Albrecht Klemm and Marcos Mariño},
	journal={SciPost Phys.},
	volume={16},
	pages={079},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.3.079},
	url={https://scipost.org/10.21468/SciPostPhys.16.3.079},
}