When supersymmetry is spontaneously broken at the tree level, the spectrum of the heterotic string compactified on orbifolds of tori contains an infinite number of potentially tachyonic modes. We show that this implies instabilities of Minkowski space–time, when the scale of supersymmetry breaking is of the order of the string scale. We derive the phase space structure of vacua in the case where the tachyonic spectrum contains a mode with trivial momenta and winding numbers along the internal directions not involved in the supersymmetry breaking.

中文翻译：

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杂质弦理论中高超对称断裂尺度的相变

当超对称性在树的层次上自发地被打破时，在 tori 的 orbifolds 上压缩的杂质弦的光谱包含无限数量的潜在速子模式。我们表明这意味着 Minkowski 时空的不稳定性，当超对称破缺的尺度是弦尺度的量级时。我们推导出真空的相空间结构，在这种情况下，速子光谱包含一个具有微量动量和沿内部方向的绕组数的模式，不涉及超对称性破坏。