One-loop superstring six-point amplitudes and anomalies in pure spinor superspace

Abstract

We present the massless six-point one-loop amplitudes in the open and closed superstring using BRST cohomology arguments from the pure spinor formalism. The hexagon gauge anomaly is traced back to a class of kinematic factors in pure spinor superspace which were recently introduced as BRST pseudo-invariants. This complements previous work where BRST invariance arguments were used to derive the non-anomalous part of the amplitude. The associated worldsheet functions are non-singular and demonstrated to yield total derivatives on moduli space upon gauge variation. These cohomology considerations yield an efficient organizing principle for closed-string amplitudes that match expectations from S-duality in the low-energy limit.

harvmac TeX, 35 pages; v2: cosmetic changes, typos corrected, references updated, published version

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Cited by in corpus (3)

• Double-Copy Structure of One-Loop Open-String Amplitudes
• Superstring loop amplitudes from the field theory limit
• Graviton and gluon scattering from first principles