The symplectic approach of gauged linear $\sigma$-model
Gang Tian, Guangbo Xu
TL;DR
This paper provides a rigorous symplectic geometric construction of Witten's Gauged Linear Sigma Model, unifying Gromov-Witten and Landau-Ginzburg theories within a global mirror symmetry framework.
Contribution
It offers a mathematically rigorous symplectic geometric approach to the GLSM in the geometric phase, advancing the theoretical understanding of mirror symmetry.
Findings
Constructed GLSM using symplectic geometry methods
Unified Gromov-Witten and Landau-Ginzburg theories
Enhanced mathematical foundation for mirror symmetry
Abstract
Witten's Gauged Linear -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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies