标题： 从广义标定中得到的非超对称通量真空 显示英文标题

标题： New non-supersymmetric flux vacua from generalised calibrations

摘要： 我们通过研究对$\mathcal{N}=1$超对称条件的变形的一阶微分方程，构建了一类新的非超对称的十维II型通量真空。 我们在广义复几何的背景下进行这一研究，其中$\mathcal{N}=1$超对称条件可以自然地解释为探测D-膜（D-string、域壁或空间填充膜）的校准条件，这取决于它们环绕两个、三个或四个非紧维度。 我们关注违反D-string校准条件的非超对称真空类，并用纯自旋子的语言写出它们的运动方程。 我们求解了其中一部分真空的方程，其中校准条件的变形由内部空间的叶状几何决定。 我们还构造了同时违反域壁和D-string校准条件的背景，推广了Lüst等人引入的一参数DWSB类背景。 我们给出了具有SU$(2)$和SU$(3)$结构的几个显式解，并简要研究了它们相关的低能有效理论。 显示英文摘要

摘要： We construct a new class of non-supersymmetric ten-dimensional type II flux vacua, by studying first order differential equations which are deformations of the $\mathcal{N}=1$ supersymmetry conditions. We do so within the context of Generalised Complex Geometry, where there is a natural interpretation of the $\mathcal{N}=1$ supersymmetry conditions in terms of calibration conditions for probe D-branes, called D-string, domain-wall or space-filling branes, depending on them wrapping two, three or four non-compact dimensions. We focus on the class of non-supersymmetric vacua violating the D-string calibration condition, and write down their general equations of motion in the language of pure spinors. We solve them for a subclass of vacua, where the deformation of the calibration condition is dictated by the foliated geometry of the internal space. We also construct backgrounds violating both the domain-wall and D-string calibration conditions, generalising the one-parameter DWSB class of backgrounds introduced in L\"ust et al. We present several explicit solutions with SU$(2)$ and SU$(3)$ structures, and we investigate briefly their associated low energy effective theories.