Sums over Topological Sectors and Quantization of Fayet-Iliopoulos Parameters
Sums over Topological Sectors and Quantization of Fayet-Iliopoulos Parameters
复制标题
拓扑扇区的求和以及 Fayet-Iliopoulos 参数的量化
DOI：
10.4310/atmp.2011.v15.n4.a7
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发表时间：
2010
影响因子：
1.5
通讯作者：
E. Sharpe
中科院分区：
文献类型：
--
作者：
S. Hellerman;E. Sharpe
在本文中，我们讨论的Fayet-Iliopoulos参数的量子化在超引力理论与改变的非微扰扇区，这是最近被用来论证分数量子化条件。非微扰扇区改变的非线性sigma模型与称为gerbes的特殊堆栈上的非线性sigma模型相同。在回顾了现有的结果，这样的理论在两个层面上，我们讨论的例子gerby模空间出现在四维场论和弦紧化，以及各种对偶的影响。我们讨论了当一个场或弦理论模空间具有格贝结构时所产生的全局拓扑缺陷。我们还概述了如何推广结果的巴格-威滕和最近的作者在超引力的量子化问题，从光滑流形光滑模栈，特别关注栈有gerbe结构。
In this paper we discuss quantization of the Fayet-Iliopoulos parameter in supergravity theories with altered nonperturbative sectors, which were recently used to argue a fractional quantization condition. Nonlinear sigma models with altered nonperturbative sectors are the same as nonlinear sigma models on special stacks known as gerbes. After reviewing the existing results on such theories in two dimensions, we discuss examples of gerby moduli `spaces' appearing in four-dimensional field theory and string compactifications, and the effect of various dualities. We discuss global topological defects arising when a field or string theory moduli space has a gerbe structure. We also outline how to generalize results of Bagger-Witten and more recent authors on quantization issues in supergravities from smooth manifolds to smooth moduli stacks, focusing particular attention on stacks that have gerbe structures.