GW/DT invariants and 5D BPS indices for strips from topological recursion

Topological string theory partition function gives rise to Gromov–Witten invariants, Donaldson–Thomas invariants and 5D BPS indices. Using the remodeling conjecture, which connects Topological Recursion with topological string theory for toric Calabi–Yau threefold, we study a more direct connection for the subclass of strip geometries. In doing so, new developments in the theory of topological recursion are applied as its extension to Logarithmic Topological Recursion (Log-TR) and the universal x–y duality. Through these techniques, our main result in this paper is a direct derivation of all free energies from topological recursion for general strip geometries. In analyzing the expression of free energy, we shed some light on the meaning and the influence of the x–y duality in topological string theory and its interconnection to GW and DT invariants as well as the 5D BPS index.

• Publication year

  2025

• Venue

  Letters in Mathematical Physics

• Publication date

  2025-08-21

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1007/s11005-026-02046-yarXiv 2508.15459
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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