The closed-string 3-loop amplitude and S-duality

preprint2015arXivOpen access

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 D6R4D^6 R^4 interaction made by Green and Vanhove based on S-duality considerations.

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