非阿贝尔三维镜像对称中的 SYZ 镜像

arXiv - MATH - Symplectic Geometry Pub Date : 2024-08-18 DOI:arxiv-2408.09479

Ki Fung Chan, Naichung Conan Leung

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引用次数: 0

摘要

在SYZ计划中，（Y）的镜像是（Y）中拉格朗日膜的模空间。当（Y）配有哈密顿（G）作用时，我们证明它的镜像决定了3d（\mathcal{N}=4\）纯（G）量子理论库仑分支中的一个典型复拉格朗日子变量。

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SYZ Mirrors in non-Abelian 3d Mirror Symmetry

In the SYZ program, the mirror of \(Y\) is the moduli space of Lagrangian branes in \(Y\). When \(Y\) is equipped with a Hamiltonian \(G\)-action, we prove that its mirror determines a canonical complex Lagrangian subvariety in the Coulomb branch of the 3d \(\mathcal{N}=4\) pure \(G\)-gauge theory.

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arXiv - MATH - Symplectic Geometry

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