## Abstract

We compute the massive-sector worldsheet S-matrix for superstring theories in AdS_{n} × S^{n} × T^{10−2n} (with n = 2, 3, 5) in the near BMN expansion up to one-loop order in inverse string tension. We show that, after taking into account the wave function renormalization, the one-loop S-matrix is UV finite. In an appropriate regularization scheme the S-matrix is consistent with the underlying symmetries of the superstring theory, i.e. for the n=3,5casesitcoincideswiththeoneimpliedbythelight-conegaugesymmetrieswiththe dressing phases determined from the crossing equations. For the n = 2, 3 cases we observe that the massless modes decouple from the one-loop calculation of massive mode scattering, i.e. the 2n-dimensional supercoset sigma model and the full 10-dimensional superstring happen to have the same massive one-loop S-matrix.

Original language | English (US) |
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Article number | 160 |

Journal | Journal of High Energy Physics |

Volume | 2014 |

Issue number | 8 |

DOIs | |

State | Published - Jan 1 2014 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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