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arXiv · hep-th/0209043

Penrose limits and Green-Schwarz strings

Shun'ya Mizoguchi·Takeshi Mogami·Yuji Satoh
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Abstract

We discuss the Green-Schwarz action for type IIB strings in general plane-wave backgrounds obtained as Penrose limits from any IIB supergravity solutions with vanishing background fermions. Using the normal-coordinate expansion in superspace, we prove that the light-cone action is necessarily quadratic in the fermionic coordinates. This proof is valid for more general pp-wave backgrounds under certain conditions. We also write down the complete quadratic action for general bosonic on-shell backgrounds in a form in which its geometrical meaning is manifest both in the Einstein and string frames. When the dilaton and 1-form field strength are vanishing, and the other field strengths are constant, our string-frame action reduces, up to conventions, to the one which has been written down using the supercovariant derivative.

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Shun'ya Mizoguchi, Takeshi Mogami, Yuji Satoh. 2003-02-28. Penrose limits and Green-Schwarz strings. https://doi.org/10.1088/0264-9381%2F20%2F8%2F306

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