General N=1 supersymmetric fluxes in massive type IIA string theory
General N=1 supersymmetric fluxes in massive type IIA string theory
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大规模IIA型弦理论中一般N=1超对称通量
DOI：
10.1016/j.nuclphysb.2004.12.004
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
M. Cvetič
中科院分区：
文献类型：
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作者：
K. Behrndt;M. Cvetič
我们研究了大质量IIA型超引力产生N=1超对称四维背景的一般通量条件。我们在SU（3）-和SU（2）-结构的情况下导出了这些条件。SU（3）-结构意味着内部空间被限制为一个近似Kähler流形，其中所有的通量都是开启的，负的宇宙学常数与质量参数成正比，而量子化的三形式和四形式通量的比率是固定的。我们进一步讨论了增加交叉D 6-膜，导致手征非阿贝尔规范部门（没有orientifold投影）的影响，这样的通量真空。将SU（3）-结构分解为SU（2）-结构的例子允许内部空间共形平坦（直到轨道折叠和定向折叠投影），我们给出了一个明确的例子。这些结果提供了一个起点，为进一步研究的四维（手征）N=1超对称解的大规模IIA型超引力与D-膜和通量，紧化orientifolds。
We study conditions on general fluxes of massive type IIA supergravity that lead to four-dimensional backgrounds with N=1 supersymmetry. We derive these conditions in the case of SU(3)- as well as SU(2)-structures. SU(3)-structures imply that the internal space is constrained to be a nearly Kähler manifold with all the turned on fluxes, and the negative cosmological constant proportional to the mass parameter, and the dilaton fixed by the quantized ratio of the three-form and four-form fluxes. We further discuss the implications of such flux vacua with added intersecting D6-branes, leading to the chiral non-Abelian gauge sectors (without orientifold projections). Examples that break SU(3)-structures to SU(2)-ones allow for the internal space conformally flat (up to orbifold and orientifold projections), for which we give an explicit example. These results provide a starting point for further study of the four-dimensional (chiral) N=1 supersymmetric solutions of massive type IIA supergravity with D-branes and fluxes, compactified on orientifolds.