Penrose limits and Green-Schwarz strings
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.
Cite
@article{arxiv.hep-th/0209043,
title = {Penrose limits and Green-Schwarz strings},
author = {Shun'ya Mizoguchi and Takeshi Mogami and Yuji Satoh},
journal= {arXiv preprint arXiv:hep-th/0209043},
year = {2017}
}
Comments
18 pages, latex, no figures; (v2) relation to ref.14 clarified; (v3) typos corrected, minor changes