We show how wall-crossing formulas in coupled 2d-4d systems, introduced by Gaiotto, Moore and Neitzke, can be interpreted geometrically in terms of the deformation theory of holomorphic pairs, given by a complex manifold together with a holomorphic vector bundle. The main part of the paper studies the relation between scattering diagrams and deformations of holomorphic pairs, building on recent work by Chan, Conan Leung and Ma. © 2023, Advances in Theoretical and Mathematical Physics.
Deformations of holomorphic pairs and 2d-4d wall-crossing / Fantini, Veronica. - In: ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS. - ISSN 1095-0761. - 26:6(2022), pp. 1705-1769. [10.4310/atmp.2022.v26.n6.a4]
Deformations of holomorphic pairs and 2d-4d wall-crossing
Fantini, Veronica
2022-01-01
Abstract
We show how wall-crossing formulas in coupled 2d-4d systems, introduced by Gaiotto, Moore and Neitzke, can be interpreted geometrically in terms of the deformation theory of holomorphic pairs, given by a complex manifold together with a holomorphic vector bundle. The main part of the paper studies the relation between scattering diagrams and deformations of holomorphic pairs, building on recent work by Chan, Conan Leung and Ma. © 2023, Advances in Theoretical and Mathematical Physics.| File | Dimensione | Formato | |
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