GW/DT invariants and 5D BPS indices for strips from topological recursion
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917216283262976 |
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| author | Banerjee, Sibasish Hock, Alexander Marchal, Olivier |
| author_facet | Banerjee, Sibasish Hock, Alexander Marchal, Olivier |
| contents | 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 threefolds, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_15459 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | GW/DT invariants and 5D BPS indices for strips from topological recursion Banerjee, Sibasish Hock, Alexander Marchal, Olivier Mathematical Physics High Energy Physics - Theory Algebraic Geometry 05A15, 14H81, 30F30, 81T30 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 threefolds, 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. |
| title | GW/DT invariants and 5D BPS indices for strips from topological recursion |
| topic | Mathematical Physics High Energy Physics - Theory Algebraic Geometry 05A15, 14H81, 30F30, 81T30 |
| url | https://arxiv.org/abs/2508.15459 |