规范Witten方程的分析
Analysis of gauged Witten equation
摘要：
规范Witten方程是Witten在规范线性$σ$模型（GLSM）中引入的。GLSM是一种解释所谓的Landau-Ginzburg/Calabi-Yau对应的物理理论。这是第一个文件在一系列对数学建设GLSM。本文研究了Lagrange乘子型超势的规范Witten方程的一些解析性质。它包含了有限能量解的渐近性质、线性Fredholm性质、一致$C^0$ -界以及具有一致能量界的固定光滑$r$ -自旋曲线上解的模空间的紧性.
英文摘要：
The gauged Witten equation was essentially introduced by Witten in his formulation of gauged linear $σ$-model (GLSM). GLSM is a physics theory which explains the so-called Landau-Ginzburg/Calabi-Yau correspondence. This is the first paper in a series towards a mathematical construction of GLSM. In this paper we study some analytical properties of the gauged Witten equation for a Lagrange multiplier type superpotential. It contains the asymptotic property of finite energy solutions, the linear Fredholm property, the uniform $C^0$-bound, and the compactness of the moduli space of solutions over a fixed smooth $r$-spin curve with uniform energy bound.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
