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arXiv · 1104.1939

RNS and Pure Spinors Equivalence for Type I Tree Level Amplitudes Involving up to Four Fermions

G. Alencar·M. O. Tahim·R. R. Landim·R. N. Costa Filho
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Abstract

In this paper we give a proof of the equivalence between the RNS and Pure Spinor formalism for Type I tree level amplitudes involving up to four fermions. This result have been obtained previously for amplitudes involving only closed or open amplitudes and here we extend it to include Type I amplitudes. For this we first prove the cyclic symmetry of Type I superstring in a way that it is also valid for the Pure Spinor formalism. The technique used is applied to simplify the calculation of the tree level three point amplitude previously computed. As a byproduct, we are able to calculate the gauge anomaly amplitude of type I Superstrings in this formalism.

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G. Alencar, M. O. Tahim, R. R. Landim, R. N. Costa Filho. 2011-04-11. RNS and Pure Spinors Equivalence for Type I Tree Level Amplitudes Involving up to Four Fermions. https://arxiv.org/abs/1104.1939

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