A Mathematical Theory of the Gauged Linear Sigma Model
Algebraic Geometry
2020-12-01 v5 High Energy Physics - Theory
Mathematical Physics
math.MP
Symplectic Geometry
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 non-Abelian gauge group. Both the Gromov-Witten theory of a Calabi-Yau complete intersection X and the Landau-Ginzburg dual (FJRW-theory) of X 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.
Keywords
Cite
@article{arxiv.1506.02109,
title = {A Mathematical Theory of the Gauged Linear Sigma Model},
author = {Huijun Fan and Tyler Jarvis and Yongbin Ruan},
journal= {arXiv preprint arXiv:1506.02109},
year = {2020}
}
Comments
Corrections to treatment of compact type