论文标题
A串杂质Landau-Ginzburg模型中的R-符号和曲率约束
R-symmetries and curvature constraints in A-twisted heterotic Landau-Ginzburg models
论文作者
论文摘要
在本文中，我们讨论了Kaehler品种上一类A串杂质的Landau-Ginzburg模型的各个方面。我们在这些模型中提供了R-Symerties的分类，这些模型可以实现A型twist，重点是couge ugge ugge ugge unge的情况或X脉切的束缚，或者是X脉切的束缚，或者是X型束缚的一部分，或者是X型束缚。提供无异常的示例。当审查超电势不是全体形态时，在这些模型中施加的曲率约束。这种性质的约束已被用来建立Mathai-Quillen形式的回调的类似物的属性，这些属性是在相应的A twist或b-Twist的杂种杂质Landau-Ginzburg模型的相关函数中产生的。与本文最相关的类似物是Mathai-Quillen形式的回调的变形。我们讨论了本文研究的一系列模型类别中可能出现这种变形。然后，我们评论如何在以前的工作中未讨论过Mathai-Quillen表格的回调类似物。标准的Mathai-Quillen形式主义在附录中进行了审查。我们还包括一个附录，讨论了Mathai-Quillen表格的回调的变形。
In this paper, we discuss various aspects of a class of A-twisted heterotic Landau-Ginzburg models on a Kaehler variety X. We provide a classification of the R-symmetries in these models which allow the A-twist to be implemented, focusing on the case in which the gauge bundle is either a deformation of the tangent bundle of X or a deformation of a sub-bundle of the tangent bundle of X. Some anomaly-free examples are provided. The curvature constraint imposed by supersymmetry in these models when the superpotential is not holomorphic is reviewed. Constraints of this nature have been used to establish properties of analogues of pullbacks of Mathai-Quillen forms which arise in the correlation functions of the corresponding A-twisted or B-twisted heterotic Landau-Ginzburg models. The analogue most relevant to this paper is a deformation of the pullback of a Mathai-Quillen form. We discuss how this deformation may arise in the class of models studied in this paper. We then comment on how analogues of pullbacks of Mathai-Quillen forms not discussed in previous work may be obtained. Standard Mathai-Quillen formalism is reviewed in an appendix. We also include an appendix which discusses the deformation of the pullback of a Mathai-Quillen form.
