A manifestly d=6 N=1 supersymmetric vertex operator and amplitude prescription are constructed for the superstring, with BRST invariance implying the SYM equations of motion.
The closed-string 3-loop amplitude and S-duality
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abstract
The low-energy limit of the four-point 3-loop amplitude (including its overall coefficient) is computed in both type IIA and IIB superstring theories using the pure spinor formalism. The result is shown to agree with the prediction of the coefficient for the type IIB $D^6 R^4$ interaction made by Green and Vanhove based on S-duality considerations.
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Vertex operators for the superstring with manifest $d=6$ $\mathcal{N}=1$ supersymmetry
A manifestly d=6 N=1 supersymmetric vertex operator and amplitude prescription are constructed for the superstring, with BRST invariance implying the SYM equations of motion.