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arXiv 0705.2140hep-th
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没有时空费米子的树能级稳定性:弦论中的新例子

Tree-Level Stability Without Spacetime Fermions: Novel Examples in String Theory

Dan Israel, Vasilis Niarchos

摘要:

在二维以上的弦论中,微扰稳定性是否与时空费米子的存在密切相关?10维平坦空间中的0 'B型弦论是具有纯玻色闭弦谱的非快子、非超对称弦论的罕见例子。然而,所有已知的0'型结构都表现出无质量的NSNS蝌蚪,这表明我们并没有围绕理论的真正真空进行扩展。在这篇笔记中,我们正在寻找在具有空间变化声子的背景中没有无质量蝌蚪的0'型弦论的微扰稳定的例子。我们提出了两个例子,这个属性在非临界弦论,表现出四维和六维庞加莱不变性。我们讨论了可以嵌入在这种背景下的D-膜和可以以这种方式构造的规范理论的类型。我们还评论了这些非临界模型在临界弦理论及其全息(小弦论)解释中的嵌入,并对渐近超对称性在微扰弦论中的作用提出了一个一般性猜想。

英文摘要:

Is perturbative stability intimately tied with the existence of spacetime fermions in string theory in more than two dimensions? Type 0'B string theory in ten-dimensional flat space is a rare example of a non-tachyonic, non-supersymmetric string theory with a purely bosonic closed string spectrum. However, all known type 0' constructions exhibit massless NSNS tadpoles signaling the fact that we are not expanding around a true vacuum of the theory. In this note, we are searching for perturbatively stable examples of type 0' string theory without massless tadpoles in backgrounds with a spatially varying dilaton. We present two examples with this property in non-critical string theories that exhibit four- and six-dimensional Poincare invariance. We discuss the D-branes that can be embedded in this context and the type of gauge theories that can be constructed in this manner. We also comment on the embedding of these non-critical models in critical string theories and their holographic (Little String Theory) interpretation and propose a general conjecture for the role of asymptotic supersymmetry in perturbative string theory.

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