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arXiv · hep-th/9804076

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

J. Russo·A. A. Tseytlin
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Abstract

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.

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J. Russo, A. A. Tseytlin. 1998-04-20. Green-Schwarz superstring action in a curved magnetic Ramond-Ramond background. https://doi.org/10.1088/1126-6708%2F1998%2F04%2F014

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