2005/01/24 by Eric D'Hoker, Eric D’Hoker, D. H. Phong · 6 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Combinatorics #Effective action #Graph #Heterotic string theory #Loop (graph theory) #Massless particle #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Superstring theory #Supersymmetry #Theoretical physics #Vertex (graph theory) #hep-th #math.CV
paper · pdf · doi:10.1016/j.nuclphysb.2005.02.043
published as Nucl.Phys.B715:3-90,2005 · 98 pages, no figure
arxiv created 2005/01/24 · openalex publication_date 2005/04/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The N-point amplitudes for the Type II and Heterotic superstrings at two-loop order and for N ≤ 4 massless NS bosons are evaluated explicitly from first principles, using the method of projection onto super period matrices introduced and developed in the first five papers of this series. The gauge-dependent corrections to the vertex operators, identified in paper V, are carefully taken into account, and the crucial counterterms which are Dolbeault exact in one insertion point and de Rham closed in the remaining points are constructed explicitly. This procedure maintains gauge slice independence at every stage of the evaluation. Analysis of the resulting amplitudes demonstrates, from first principles, that for N≤ 3, no two-loop corrections occur, while for N=4, no two-loop corrections to the low energy effective action occur for R4 terms in the Type II superstrings, and for F4, F2F2, F2R2, and R4 terms in the Heterotic strings.