{"title":"SYZ Mirrors in non-Abelian 3d Mirror Symmetry","authors":"Ki Fung Chan, Naichung Conan Leung","doi":"arxiv-2408.09479","DOIUrl":null,"url":null,"abstract":"In the SYZ program, the mirror of \\(Y\\) is the moduli space of Lagrangian\nbranes in \\(Y\\). When \\(Y\\) is equipped with a Hamiltonian \\(G\\)-action, we\nprove that its mirror determines a canonical complex Lagrangian subvariety in\nthe Coulomb branch of the 3d \\(\\mathcal{N}=4\\) pure \\(G\\)-gauge theory.","PeriodicalId":501155,"journal":{"name":"arXiv - MATH - Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Symplectic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.09479","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.