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arXiv 1407.5576hep-th
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非几何轨道折叠和包裹规则

Non-geometric orbifolds and wrapping rules

Gianfranco Pradisi, Fabio Riccioni

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26 pages, 8 tables
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摘要：

我们表明，在第二类理论中的半超对称p-膜的数量紧化orbifolds是由最近推出的包装规则，只要一个帐户正确的几何和非几何的T-对偶配置。从K3上紧化的II型理论出发，我们分析了它们的环面维数约化，展示了所得到的半超对称p-膜如何仅通过考虑所有可能的高维起源来满足包裹规则。然后我们考虑在轨道折叠T^6/（Z_2 \times Z_2）上紧化的II型理论，其无质量四维理论是N=2的超引力。同样，只有当包含T-对偶群的完备轨道时，即在几何或非几何T-对偶轨道上紧化的IIA型或IIB型理论，才遵守包裹规则。最后，我们在K3 \times T^2上紧化的杂化弦和Calabi-Yau三重上紧化的II型弦之间的对偶框架内评论了我们结果的解释。

英文摘要：

We show that the number of half-supersymmetric p-branes in the Type II theories compactified on orbifolds is determined by the wrapping rules recently introduced, provided that one accounts correctly for both geometric and non-geometric T-dual configurations. Starting from the Type II theories compactified on K3, we analyze their toroidal dimensional reductions, showing how the resulting half-supersymmetric p-branes satisfy the wrapping rules only by taking into account all the possible higher-dimensional origins. We then consider Type II theories compactified on the orbifold T^6/(Z_2 \times Z_2 ), whose massless four-dimensional theory is an N=2 supergravity. Again, the wrapping rules are obeyed only if one includes the complete orbit of the T-duality group, namely either Type IIA or Type IIB theories compactified on either the geometric or the non-geometric T-dual orbifold. Finally, we comment on the interpretation of our results in the framework of the duality between the Heterotic string compactified on K3 \times T^2 and the Type II string compactified on a Calabi-Yau threefold.

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