Supersymmetric (non-)abelian bundles in the type-I and SO(32) heterotic string

Supersymmetric (non-)abelian bundles in the type-I and SO(32) heterotic string
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I 型和 SO(32) 杂优势串中的超对称(非)阿贝尔丛

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发表时间:
2005
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通讯作者:
T. Weigand
T. Weigand
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作者:
R. Blumenhagen;G. Honecker;T. Weigand

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讨论了具有一般非阿贝尔束和阿贝尔束的光滑Calabi-Yau流形上的SO(32)杂散弦和i型弦的微扰四维紧化。我们分析了多个异常U(1)因子的广义Green-Schwarz机制,并推导了规范动力学函数的一般非通用单回路阈值修正以及单回路修正的Fayet-Iliopoulos项。后者可以被解释为对Donaldson-Uhlenbeck-Yau条件的弦单回修正。应用s对偶性,对于i型弦,我们得到微扰?-弯曲空间上非阿贝尔束的稳定性条件。给出了一些简单的例子,并定性地讨论了这类弦真空的一般现象学方面的问题。我们特别指出,对于异质弦,理论上具有TeV尺度的大额外维度的中间弦尺度场景是可能存在的。
We discuss perturbative four-dimensional compactifications of both the SO(32) heterotic and the type-I string on smooth Calabi-Yau manifolds endowed with general non-abelian and abelian bundles. We analyse the generalized Green-Schwarz mechanism for multiple anomalous U(1) factors and derive the generically non-universal one-loop threshold corrections to the gauge kinetic function as well as the one-loop corrected Fayet-Iliopoulos terms. The latter can be interpreted as a stringy one-loop correction to the Donaldson-Uhlenbeck-Yau condition. Applying S-duality, for the type-I string we obtain the perturbative ?-stability condition for non-abelian bundles on curved spaces. Some simple examples are given, and we qualitatively discuss some generic phenomenological aspects of this kind of string vacua. In particular, we point out that in principle an intermediate string scale scenario with TeV scale large extra dimensions might be possible for the heterotic string.