Witten's Gauged Linear $σ$-Model (GLSM) unifies the Gromov-Witten theory and the Landau-Ginzburg theory, and provides a global perspective on mirror symmetry. In this article, we summarize a mathematically rigorous construction of the GLSM in the geometric phase using methods from symplectic geometry.
Ricci-flat metrics from gauged linear $σ$-models without RG flow
Steklov Mathematical Institute of Russian Academy of Sciences（俄罗斯科学院斯捷克洛夫数学研究所）；Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University（莫斯科国立大学理论与数学物理研究所）；HSE University（高等经济学院）；Beijing Institute of Mathematical Sciences and Applications (BIMSA)（北京国际数学研究中心）；Institute for Mathematics Ruprecht-Karls-Universität Heidelberg（海德堡大学数学研究所）；Department of Physics and Astronomy, Division of Theoretical Physics, Uppsala University（乌普萨拉大学物理学与天文学系理论物理部门）；Center for Geometry and Physics, Uppsala University（乌普萨拉大学几何与物理中心）；C.N. Yang Institute for Theoretical Physics, Stony Brook University（纽约州立大学石溪分校杨振宁理论物理研究所）；Department of Theoretical Physics and Astrophysics Faculty of Science, Masaryk University（马萨里克大学理学院理论与天体物理学系）
