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arXiv 2003.02545hep-th
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关于破缺超对称的开弦轨形模型的稳定性

On the stability of open-string orbifold models with broken supersymmetry

Steven Abel, Thibaut Coudarchet, Hervé Partouche

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1+66 pages, 6 figures. v2: New results. Stable models with massless Bose-Fermi degeneracy exist. v3: Minor corrections of gauge groups of stable models
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AI总结：

本文研究在IIB型定向型理论中通过Scherk--Schwarz机制实现超对称自发破缺的开弦轨形模型，证明在超对称破缺标度较低时存在单圈有效势为零的稳定真空，并分析了正有效势背景的稳定性。

摘要：

我们考虑在四维闵可夫斯基时空中实现 $\mathcal{N}=2\to \mathcal{N}=0$ 超对称自发破缺的开弦方案。该方案基于在 $T^2\times T^4/\mathbb{Z}_2$ 上紧致化的 IIB 型定向型理论，并沿 $T^2$ 实现 Scherk--Schwarz 超对称破缺。我们证明，在模空间中超对称破缺标度低于其他标度的区域，存在具有极小值的构型，这些极小值具有无质量玻色-费米简并，因此单圈有效势为零，最多只受到指数压低修正。这些背景描述非阿贝尔规范理论，其中所有开弦模和 $T^4/\mathbb{Z}_2$ 的吹胀模式都被稳定化，而所有未扭曲闭弦模仍保持平坦方向。还存在其他具有严格正有效势的背景，其中单圈层面出现的唯一不稳定性与超对称破缺标度相关，该标度会跑掉。所有这些背景在非微扰层面都是一致的。

英文摘要：

We consider an open-string realisation of $\mathcal{N}=2\to \mathcal{N}=0$ spontaneous breaking of supersymmetry in four-dimensional Minkowski spacetime. It is based on type IIB orientifold theory compactified on $T^2\times T^4/\mathbb{Z}_2$, with Scherk--Schwarz supersymmetry breaking implemented along $T^2$. We show that in the regions of moduli space where the supersymmetry breaking scale is lower than the other scales, there exist configurations with minima that have massless Bose-Fermi degeneracy and hence vanishing one-loop effective potential, up to exponentially suppressed corrections. These backgrounds describe non-Abelian gauge theories, with all open-string moduli and blowing up modes of $T^4/\mathbb{Z}_2$ stabilized, while all untwisted closed-string moduli remain flat directions. Other backgrounds with strictly positive effective potentials exist, where the only instabilities arising at one loop are associated with the supersymmetry breaking scale, which runs away. All of these backgrounds are consistent non-perturbatively.

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