The Moduli Space in the Gauged Linear Sigma Model

TL;DR

This paper surveys the mathematical framework of Witten's Gauged Linear Sigma Model, focusing on the description of the moduli space, and summarizes recent developments by the authors in this area.

Contribution

It provides a focused overview of the moduli space in the gauged linear sigma model, highlighting recent advances by the authors.

Findings

Detailed description of the moduli space

Summarization of recent mathematical developments

Clarification of the model's structure

Abstract

This is a survey article for the mathematical theory of Witten's Gauged Linear Sigma Model, as developed recently by the authors. Instead of developing the theory in the most general setting, in this paper we focus on the description of the moduli.