2000/10/31 by Gordon Chalmers, Warren Siegel
Mathematics · Physics and Astronomy · #Amplitude #Anomaly (physics) #Black Holes and Theoretical Physics #Combinatorics #Computer science #Conformal anomaly #Conformal field theory #Conformal map #Duality (order theory) #Geometry #Helicity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Space (punctuation) #String (physics) #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.64.026001
published as Phys.Rev. D64 (2001) 026001 · 29 pages, LaTeX, one figure
arxiv created 2000/11/02 · openalex publication_date 2001/05/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show the existence of a global anomaly in the one-loop graphs of N=2 string theory, defined by sewing tree amplitudes, unless spacetime supersymmetry is imposed. The anomaly is responsible for the non-vanishing maximally helicity violating amplitudes. The supersymmetric completion of the N=2 string spectrum is formulated by extending the previous cohomological analysis with an external spin factor; the target space-time spin-statistics of these individual fields in a self-dual background are compatible with previous cohomological analysis as fields of arbitrary spin may be bosonized into one another. We further analyze duality relations between the open and closed string amplitudes and demonstrate this in the supersymmetric extension of the target space-time theory through the insertion of zero-momentum operators.