2014/07/31 by Radu Roiban, Per Sundin, A.A. Tseytlin +2 · 59 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Dimensional regularization #Geometry #Inverse #Loop (graph theory) #Massless particle #Mathematical physics #Mathematics #Matrix (chemical analysis) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Regularization (linguistics) #Renormalization #S-matrix #Scattering #String (physics) #String field theory #Superstring theory #Supersymmetry #Worldsheet #hep-th
paper · pdf · doi:10.1007/jhep08(2014)160
published in Journal of High Energy Physics 2014(8) (Springer Nature) · 23 pages; v2: typos fixed in (C.2)-(C.4)
openalex publication_date 2014/08/01 · openalex created_date 2016/06/24 · arxiv created 2019/01/03 · arxiv updated 2019/01/04 · openalex updated_date 2026/08/05
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.