TY - JOUR

T1 - The one-loop worldsheet S-matrix for the AdSn × Sn × T10−2n superstring

AU - Roiban, Radu

AU - Sundin, Per

AU - Tseytlin, Arkady

AU - Wulff, Linus

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We compute the massive-sector worldsheet S-matrix for superstring theories in AdSn × Sn × T10−2n (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.

AB - We compute the massive-sector worldsheet S-matrix for superstring theories in AdSn × Sn × T10−2n (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.

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U2 - 10.1007/JHEP08(2014)160

DO - 10.1007/JHEP08(2014)160

M3 - Article

VL - 2014

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 8

M1 - 160

ER -