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Non-perturbative topological string theory on compact Calabi-Yau 3-folds

by Jie Gu, Amir-Kian Kashani-Poor, Albrecht Klemm, Marcos Mariño

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Submission summary

Authors (as registered SciPost users): Jie Gu · Marcos Mariño
Submission information
Preprint Link: scipost_202308_00013v2  (pdf)
Date accepted: 2024-02-15
Date submitted: 2024-02-01 04:03
Submitted by: Gu, Jie
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
  • Mathematical Physics
Approach: Theoretical


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.

List of changes

1. Typos corrections in section two, especially regarding the indices in formulas, per the request of one referee.
2. Expansion of conclusion and references to important formulas added, per the request of another referee.

Published as SciPost Phys. 16, 079 (2024)

Reports on this Submission

Anonymous Report 2 on 2024-2-8 (Invited Report)


The authors made the changes that I suggested and the paper can be published.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Anonymous Report 1 on 2024-2-7 (Invited Report)


see initial review


see initial review


Following corrections by authors, I recommend publication in SciPos.

  • validity: top
  • significance: high
  • originality: high
  • clarity: high
  • formatting: excellent
  • grammar: excellent

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