General aspects of heterotic string compactifications on stacks and gerbes

General aspects of heterotic string compactifications on stacks and gerbes
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堆栈和非洲菊杂种优势串压缩的一般方面

DOI:
10.4310/atmp.2015.v19.n3.a2
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发表时间:
2013
影响因子:
1.5
通讯作者:
E. Sharpe
E. Sharpe
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
L. Anderson;B. Jia;R. Manion;B. Ovrut;E. Sharpe

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在本文中,我们工作的一些基本结果,杂种弦紧栈,特别是,gerbes。格贝上的杂合弦紧化可以理解为,同时,一个空间上的非微扰扇区限制的紧化,也是一个规范理论,其中规范群的一个子群对无质量物质的作用是平凡的。格贝承认更多的丛比相应的空间,这表明他们可能是一个丰富的游乐场杂交弦紧化。之后,我们给出了一个一般的特点,杂种优势字符串栈,我们专门gerbes,并考虑三个不同类别的'积木'的gerbe紧化。我们认为,杂种优势字符串紧化一类是等价于紧化的同一杂种优势字符串的不相交的工会的空间,紧化的另一类是对偶的紧化的其他杂种优势字符串的空间,和紧化的第三类是不扰动一致的,所以我们实际上并没有恢复广泛的新的杂种优势紧化,只是现有的组合。在附录中,我们解释了如何计算栈上杂种弦的无质量谱,推导出栈或轨道折叠上杂种弦良好定义的一些新的必要条件,并回顾了格贝斯上丛的一些基本性质。
In this paper we work out some basic results concerning heterotic string compactifications on stacks and, in particular, gerbes. A heterotic string compactification on a gerbe can be understood as, simultaneously, both a compactification on a space with a restriction on nonperturbative sectors, and also, a gauge theory in which a subgroup of the gauge group acts trivially on the massless matter. Gerbes admit more bundles than corresponding spaces, which suggests they are potentially a rich playground for heterotic string compactifications. After we give a general characterization of heterotic strings on stacks, we specialize to gerbes, and consider three different classes of `building blocks' of gerbe compactifications. We argue that heterotic string compactifications on one class is equivalent to compactification of the same heterotic string on a disjoint union of spaces, compactification on another class is dual to compactifications of other heterotic strings on spaces, and compactification on the third class is not perturbatively consistent, so that we do not in fact recover a broad array of new heterotic compactifications, just combinations of existing ones. In appendices we explain how to compute massless spectra of heterotic strings on stacks, derive some new necessary conditions for a heterotic string on a stack or orbifold to be well-defined, and also review some basic properties of bundles on gerbes.
DOI: 10.1007/jhep02(2010)054
发表时间: 2009-11
影响因子: 5.4
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杂种优势标准嵌入的 (0,2) 变形的 MSSM 谱
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