Quantum Curve for strip geometries, Topological Recursion and open GW/DT invariants
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911248506945536 |
|---|---|
| author | Banerjee, Sibasish Hock, Alexander |
| author_facet | Banerjee, Sibasish Hock, Alexander |
| contents | Open topological string partition function gives rise to open Gromov-Witten invariants, open Donaldson-Thomas invariants and 3D-5D BPS indices. Utilizing the remodelling conjecture which connects topological recursion and topological string theory, in this paper we study open topological string theory for the subclass of toric Calabi-Yau threefold known as strip geometries. For this purpose, certain 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 this we derive the open topological string partition function and also the associated quantum curve. We also explain how this is related to the open Donaldson-Thomas partition function associated with certain symmetric quivers, exponential networks and $q$-Barnes type integrals. In the process, we also connect how 3D-5D wall crossing affects these partition functions as one varies $x$, in examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07146 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Curve for strip geometries, Topological Recursion and open GW/DT invariants Banerjee, Sibasish Hock, Alexander Mathematical Physics High Energy Physics - Theory Algebraic Geometry Symplectic Geometry 05A15, 14H81, 30F30, 81T30 Open topological string partition function gives rise to open Gromov-Witten invariants, open Donaldson-Thomas invariants and 3D-5D BPS indices. Utilizing the remodelling conjecture which connects topological recursion and topological string theory, in this paper we study open topological string theory for the subclass of toric Calabi-Yau threefold known as strip geometries. For this purpose, certain 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 this we derive the open topological string partition function and also the associated quantum curve. We also explain how this is related to the open Donaldson-Thomas partition function associated with certain symmetric quivers, exponential networks and $q$-Barnes type integrals. In the process, we also connect how 3D-5D wall crossing affects these partition functions as one varies $x$, in examples. |
| title | Quantum Curve for strip geometries, Topological Recursion and open GW/DT invariants |
| topic | Mathematical Physics High Energy Physics - Theory Algebraic Geometry Symplectic Geometry 05A15, 14H81, 30F30, 81T30 |
| url | https://arxiv.org/abs/2510.07146 |