Type IIA supergravity and M -theory on manifolds with SU(4) structure
Type IIA supergravity and M -theory on manifolds with SU(4) structure
复制标题
SU(4)结构流形上的IIA型超重力和M理论
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发表时间：
2013
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通讯作者：
D. Tsimpis
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作者：
Daniel Prins;D. Tsimpis
在具有SU(4)结构的八维流形上，我们给出了具有m理论和IIA型超重力（一般具有非零罗马质量）的两个实超荷的超对称背景的一般形式，其形式为$\mathbb{R}^{1，d} \乘以\M_8$, d=1,2。我们指出了低维超对称紧化的可积性定理中的一个微妙之处。作为一种特殊情况，我们考察了Calabi-Yau通量真空，并证明了不破缺超对称一般不要求四型通量为（2,2）或基元。我们的结果可以用来构建新的高维类似于Klebanov-Strassler几何。在m理论大体积Calabi-Yau通量真空的情况下，我们的结果与三维N=2超重力中的部分超对称破缺一致。或者，超对称的条件可以根据三维N=1的超引力用实“超势”来表示。我们给出了K3 × K3上的m -理论通量真空的明确例子，但它们似乎不具有具有四维庞加莱不变性的f -理论对偶。
We give the general form of supersymmetric backgrounds with two real supercharges of M-theory and type IIA supergravity (with non-zero Romans mass in general) of the form $\mathbb{R}^{1,d} \times \M_8$, d=1,2, on eight-dimensional manifolds with SU(4) structure. We point out a subtlety in the integrability theorems for low-dimensional supersymmetric compactifications. As a special case we examine Calabi-Yau flux vacua and we show that unbroken supersymmetry does not in general require the four-form flux to be (2,2) or primitive. Our results could be used to construct novel higher-dimensional analogues of the Klebanov-Strassler geometry. In the case of M-theory large-volume Calabi-Yau flux vacua our results are in agreement with partial supersymmetry breaking in three-dimensional N=2 supergravity. Alternatively, the conditions for supersymmetry can be expressed in terms of a real `superpotential' in accordance with three-dimensional N=1 supergravity. We present explicit examples of M-theory flux vacua on K3 \times K3, which however do not appear to possess F-theory duals with four-dimensional Poincar\'e invariance.