Equivalence of Two-Loop Superstring Amplitudes in the Pure Spinor and RNS Formalisms

Abstract

The pure spinor formalism for the superstring has recently been used to compute massless four-point two-loop amplitudes in a manifestly super-Poincaré covariant manner. In this paper, we show that when all four external states are Neveu-Schwarz, the two-loop amplitude coincides with the RNS result. 

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