SYZ Mirrors in non-Abelian 3d Mirror Symmetry

Ki Fung Chan, Naichung Conan Leung
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Abstract

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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非阿贝尔三维镜像对称中的 SYZ 镜像
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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