Pith. sign in

REVIEW 4 cited by

Non-perturbative topological string theory on compact Calabi-Yau manifolds from M-theory

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2408.09255 v2 pith:P4536SYK submitted 2024-08-17 hep-th

Jarod Hattab , Eran Palti This is my paper · ORCID
classification hep-th
keywords non-perturbativecalabi-yauformulastringtopologicalcalculationcompactenergy
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We show that the full non-perturbative topological string free energy, in the holomorphic limit, follows simply from a target space integrating out calculation of M2 states. Qualitatively, this is the same as the calculation performed by Gopakumar and Vafa, but we find that the final expression must be modified due to a subtlety with poles induced by non-perturbative physics. Accounting for this modification leads to a Gopakumar-Vafa-like formula, which we propose as the exact formulation of the integrating out procedure. Evaluating the formula necessarily requires a contour integral in a complexified Schwinger proper time parameter. We show that this evaluation yields the full non-perturbative topological string free energy, and can be applied to a compact, or non-compact, Calabi-Yau threefold. The explicit formula presented holds as long as the two-cycles wrapped by the branes are rigid and smooth, but the methodology can be used to study also more general Calabi-Yau geometries.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Black Hole Entropy, Quantum Corrections and EFT Transitions

    hep-th 2025-02 conditional novelty 7.0 of 10

    Quantum corrections to BPS black hole entropy in 4d N=2 string compactifications can be resummed into a finite formula that interpolates between four- and five-dimensional EFT descriptions and matches exact 5d microst...

  2. The Double EFT Expansion in Quantum Gravity

    hep-th 2025-01 conditional novelty 7.0 of 10

    Quantum gravity EFT actions organize higher-curvature corrections into a field-theoretic expansion suppressed by the lightest new mass and a quantum-gravitational expansion suppressed by the species scale.

  3. $c=1$, $R=1$ and $N\gg 1$: ZZ instantons in 2D String Theory and Matrix Integrals

    hep-th 2025-01 conditional novelty 6.0 of 10

    At self-dual radius, ZZ instanton normalizations from worldsheet string theory match the matrix model trans-series, with SU(2) boundary condition zero modes playing the key role.

  4. Nonperturbative refined topological string

    hep-th 2025-02 conditional novelty 5.0 of 10

    The paper extends the Hattab and Palti contour integral representation to refined topological strings and verifies that it reproduces the known trans-series and Stokes jumps.

Pith tools