Green-Schwarz superstring action in a curved magnetic Ramond-Ramond background

Green-Schwarz superstring action in a curved magnetic Ramond-Ramond background
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弯曲磁性拉蒙德-拉蒙德背景中的格林-施瓦茨超弦作用

DOI:
10.1088/1126-6708/1998/04/014
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发表时间:
1998
期刊:
影响因子:
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通讯作者:
A. Tseytlin
A. Tseytlin
中科院分区:
--
文献类型:
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作者:
Jorge G. Russo;A. Tseytlin

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我们在一个简单的D = 10的背景中导出了IIA型超弦的完全协变作用量,该背景代表一个具有磁性Ramond-Ramond向量场的7-膜(并且是Kaluza-Klein Melvin解的U-对偶)。这个弯曲的背景可以从一个平坦的(但拓扑上非平凡的)D = 11的时空降维得到。超膜在这个平坦的D = 11空间中传播的行为很容易写下来。通过对超膜作用量进行双维约化,得到了超弦作用量的显式形式。在光锥规范中,作用量只包含费米子中的二次项和四次项。
We derive the complete covariant action for the type IIA superstring in a simple D = 10 background which represents a 7-brane with a magnetic Ramond-Ramond vector field (and is U-dual to the Kaluza-Klein Melvin solution). This curved background can be obtained by dimensional reduction from a flat (but topologically non-trivial) D = 11 space-time. The action of a supermembrane propagating in this flat D = 11 space is straightforward to write down. The explicit form of the superstring action is then obtained by double dimensional reduction of the supermembrane action. In the light-cone gauge the action contains only quadratic and quartic terms in fermions.