A scan for new N = 1 vacua on twisted tori
A scan for new N = 1 vacua on twisted tori
复制标题
扫描扭曲环面上的新 N = 1 真空
DOI：
10.1088/1126-6708/2007/05/031
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发表时间：
2006
影响因子：
5.4
通讯作者：
A. Tomasiello
中科院分区：
文献类型：
--
作者：
M. Graña;R. Minasian;M. Petrini;A. Tomasiello
我们在紧化六维可并行零和可解流形（分别是六维幂零群和可解群的商）上系统地搜索了II型弦理论的N = 1 Minkowski真空。其中一些流形出现在弦背景的构造中，通常被称为扭曲环面。我们利用广义复几何框架下超对称条件的一个重新表述，直接在十维空间中寻找真空。还需要一些代数准则来建立所涉及的流形的紧性。尽管保留N = 1超对称的条件很好地符合广义复几何的框架，但当与Bianchi恒等式耦合时，它们是出了名的难以解决。我们在大体积、恒膨胀极限下找到解。其中，我们确定了那些在共形t6上具有自对偶三形式通量的IIB背景的T对偶，因此在概念上并不新鲜。对于这种类型的所有背景，都可以得到完全局部化的解。其他新解需要多个相交源（取向平面或o -平面和d -膜的组合）来满足Bianchi恒等式；给出了这类新解的完整列表。到目前为止，这些只是模糊的解决方案，它们的定位尚不清楚。虽然它们在大体积极限下是有效的，但它们是超重力中闵可夫斯基真空的第一个不通过任何对偶与卡拉比-丘相连接的例子。最后，我们讨论了一类可能导致IIA型弦的AdS4真空的平坦溶剂流形。
We perform a systematic search for N = 1 Minkowski vacua of type II string theories on compact six–dimensional parallelizable nil– and solvmanifolds (quotients of six–dimensional nilpotent and solvable groups, respectively). Some of these manifolds have appeared in the construction of string backgrounds and are typically called twisted tori. We look for vacua directly in ten dimensions, using the a reformulation of the supersymmetry condition in the framework of generalized complex geometry. Certain algebraic criteria to establish compactness of the manifolds involved are also needed. Although the conditions for preserved N = 1 supersymmetry fit nicely in the framework of generalized complex geometry, they are notoriously hard to solve when coupled to the Bianchi identities. We find solutions in a large–volume, constant–dilaton limit. Among these, we identify those that are T–dual to backgrounds of IIB on a conformal T 6 with self–dual three–form flux, and hence conceptually not new. For all backgrounds of this type fully localized solutions can be obtained. The other new solutions need multiple intersecting sources (either orientifold planes or combinations of O–planes and D–branes) to satisfy the Bianchi identities; the full list of such new solution is given. These are so far only smeared solutions, and their localization is yet unknown. Although valid in a large–volume limit, they are the first examples of Minkowski vacua in supergravity which are not connected by any duality to a Calabi–Yau. Finally, we discuss a class of flat solvmanifolds that may lead to AdS4 vacua of type IIA strings.