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arXiv 0908.0305hep-th
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具有D6源的IIA型超引力的升力:有挠的M理论

The lift of type IIA supergravity with D6 sources: M-theory with torsion

Jerome Gaillard, Johannes Schmude

摘要:

本文讨论了著名的Kaluza-Klein机制的推广。由于卡鲁扎-克莱因约化的标准公式暗示存在一个与KK场强相关联的规范势,因此这个场强立即满足其比安奇恒等式。因此,标准的KK形式主义在违反比安奇恒等式的情况下崩溃了。例如,在D 6来源的情况下就发生了这种情况。我们将在IIA/M型理论对偶的背景下研究并部分解决这个问题。我们的讨论的动机是使用D 6-膜(在M-理论中作为KK-单极出现)构造具有反反应味膜的规范/弦规范。我们能够推导出十一维理论的源修正运动方程,并随后能够通过直接降维获得源修正的IIA型方程。

英文摘要:

This paper is concerned with an extension of the well known Kaluza-Klein mechanism. As the standard ansatz for Kaluza-Klein reduction implies the existence of a gauge potential associated with the KK field strength, it follows immediately that this field strength satisfies its Bianchi identity. Hence, the standard KK formalism breaks down in the presence of a violated Bianchi identity. This occurs for example in the context of D6 sources. We will investigate and partially solve this problem in the context of the type IIA/M-theory duality. Our discussion is motivated by the construction of gauge/string duals with backreacting flavor branes using D6-branes, which appear in M-theory as KK-monopoles. We are able to derive source-modified equations of motion for the eleven-dimensional theory, and are subsequently able to obtain the source-modified type IIA equations by direct dimensional reduction.

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