Deformations of holomorphic pairs and $2d$-$4d$ wall-crossing

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Veronica Fantini
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引用次数: 3

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.
全纯对的变形和$2d$-$4d$壁交
我们展示了由Gaiotto, Moore和Neitzke引入的耦合2d-4d系统中的壁穿越公式如何可以根据由复流形和全纯矢量束给出的全纯对的变形理论从几何上解释。本文的主要部分在Chan, Conan Leung和Ma最近工作的基础上研究了散射图与全纯对变形之间的关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Advances in Theoretical and Mathematical Physics
Advances in Theoretical and Mathematical Physics 物理-物理:粒子与场物理
CiteScore
2.20
自引率
6.70%
发文量
0
审稿时长
>12 weeks
期刊介绍: Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.
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