{"title":"非阿贝尔三维镜像对称中的 SYZ 镜像","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":"{\"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}","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}
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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