Abstract
We construct a mathematical theory of Witten’s Gauged Linear Sigma Model (GLSM). Our theory applies to a wide range of examples, including many cases with nonabelian gauge group.
Both the Gromov–Witten theory of a Calabi–Yau complete intersection and the Landau–Ginzburg dual (FJRW theory) of can be expressed as gauged linear sigma models. Furthermore, the Landau–Ginzburg/Calabi–Yau correspondence can be interpreted as a variation of the moment map or a deformation of GIT in the GLSM. This paper focuses primarily on the algebraic theory, while a companion article will treat the analytic theory.
Citation
Huijun Fan. Tyler Jarvis. Yongbin Ruan. "A mathematical theory of the gauged linear sigma model." Geom. Topol. 22 (1) 235 - 303, 2018. https://doi.org/10.2140/gt.2018.22.235
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