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

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Mafra,  Carlos R.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Schlotterer,  Oliver
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1603.04790.pdf
(Preprint), 292KB

JHEP04(2016)148.pdf
(Publisher version), 655KB

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Citation

Mafra, C. R., & Schlotterer, O. (2016). One-loop superstring six-point amplitudes and anomalies in pure spinor superspace. Journal of high energy physics: JHEP, 2016(04): 148. doi: 10.1007/JHEP04(2016)148.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002A-3BDE-3
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.