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arXiv 0905.2970hep-th
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弦论中稳定的非超对称喉道

Stable Non-Supersymmetric Throats in String Theory

Shamit Kachru, Dusan Simic, Sandip P. Trivedi

摘要:

我们在弦论中构造了一大类非超对称类AdS喉道几何,它们是在超对称背景下取非超对称轨道。超对称破缺的尺度是AdS半径,对偶场论已经明确破缺了超对称性。在这些几何中,能量尺度的大层次是稳定的。我们通过证明对偶规范理论在整体对称性下没有任何相关的单态算符来证明这一点。当几何嵌入在一个紧凑的内部空间,一个足够大的离散子群的整体对称仍然可以生存,以防止任何单态相关的运营商的出现。我们说明了这一点,嵌入一个情况下,在非超对称orbifold的卡-丘流形。这些例子可以作为在弦论中获得兰德尔-桑德拉姆模型的起点,更广泛地说,可以作为构建复合希格斯粒子或类似特色粒子的模型的起点,在这些模型中,强耦合动力学导致了电弱对称性的破缺。在文章的最后,我们简要地讨论了如何通过在体中引入D 7-膜来合并体规范场,并展示了强耦合动力学如何导致在包含标量的物质场的IR中出现弱耦合规范理论。

英文摘要:

We construct a large class of non-supersymmetric AdS-like throat geometries in string theory by taking non-supersymmetric orbifolds of supersymmetric backgrounds. The scale of SUSY breaking is the AdS radius, and the dual field theory has explicitly broken supersymmetry. The large hierarchy of energy scales in these geometries is stable. We establish this by showing that the dual gauge theories do not have any relevant operators which are singlets under the global symmetries. When the geometries are embedded in a compact internal space, a large enough discrete subgroup of the global symmetries can still survive to prevent any singlet relevant operators from arising. We illustrate this by embedding one case in a non-supersymmetric orbifold of a Calabi-Yau manifold. These examples can serve as a starting point for obtaining Randall-Sundrum models in string theory, and more generally for constructing composite Higgs or technicolor-like models where strongly coupled dynamics leads to the breaking of electro-weak symmetry. Towards the end of the paper, we briefly discuss how bulk gauge fields can be incorporated by introducing D7-branes in the bulk, and also show how the strongly coupled dynamics can lead to an emergent weakly coupled gauge theory in the IR with matter fields including scalars.

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