The S-Matrix of superstring field theory

TL;DR

This paper demonstrates that the classical S-matrix derived from recent superstring field theories accurately reproduces the perturbative S-matrix, confirming the consistency of these theories with known string interactions.

Contribution

It proves the equivalence of the S-matrix from superstring field theories to the perturbative S-matrix, including NS-NS and Ramond sectors, using field redefinitions in the large Hilbert space.

Findings

The S-matrix from superstring field theory matches the perturbative S-matrix.

The proof applies to type II superstring theories including NS-NS and Ramond sectors.

Berkovits' WZW-like string field theory S-matrix agrees with perturbative results to all orders.

Abstract

We show that the classical S-matrix calculated from the recently proposed superstring field theories give the correct perturbative S-matrix. In the proof we exploit the fact that the vertices are obtained by a field redefinition in the large Hilbert space. The result extends to include the NS-NS subsector of type II superstring field theory and the recently found equations of motions for the Ramond fields. In addition, our proof implies that the S-matrix obtained from Berkovits' WZW-like string field theory then agrees with the perturbative S-matrix to all orders.