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arXiv 1707.06152hep-th
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D=7超引力中的BPS天体及其M理论起源

BPS objects in D=7 supergravity and their M-theory origin

Giuseppe Dibitetto, Nicolò Petri

摘要:

我们研究了具有$\textrm{SU}(2)$规范群和非零拓扑质量的极小$\mathcal{N}=1$、$D=7$超引力中的几种不同类型的BPS流。在回顾了一些已知的只涉及度规和$\mathbb{R}^{+}$标量场的畴壁解之后,我们转而考虑更一般的涉及3-形式规范势的“双音”剖面的流动。在这种情况下,我们认为流具有$\textrm{Mkw}_{3}$以及一个$\textrm{AdS}_{3}$切片,写下相应的流方程,并将它们分析,以获得许多例子的渐近$\mathrm{AdS}_7$解决方案中存在的运行3-形式。此外,我们移动到添加非零矢量场的可能性,找到新的相应的流和积分数值。最后,我们讨论了上述解决方案的有效描述$\mathrm{M2}-\mathrm{M5}$束缚态的十一维解释。

英文摘要:

We study several different types of BPS flows within minimal $\mathcal{N}=1$, $D=7$ supergravity with $\textrm{SU}(2)$ gauge group and non-vanishing topological mass. After reviewing some known domain wall solutions involving only the metric and the $\mathbb{R}^{+}$ scalar field, we move to considering more general flows involving a "dyonic" profile for the 3-form gauge potential. In this context, we consider flows featuring a $\textrm{Mkw}_{3}$ as well as an $\textrm{AdS}_{3}$ slicing, write down the corresponding flow equations, and integrate them analytically to obtain many examples of asymptotically $\mathrm{AdS}_7$ solutions in presence of a running 3-form. Furthermore, we move to adding the possibility of non-vanishing vector fields, find the new corresponding flows and integrate them numerically. Finally, we discuss the eleven-dimensional interpretation of the aforementioned solutions as effective descriptions of $\mathrm{M2}-\mathrm{M5}$ bound states.

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