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
SN - 1126-6708
VL - 2014
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
M1 - 160
ER -