Tree-level S-matrix of superstring field theory with homotopy algebra structure

TL;DR

This paper demonstrates that tree-level S-matrices in superstring field theories with homotopy algebra structures match those from first-quantized methods, confirmed explicitly for heterotic strings and extendable to others.

Contribution

It provides a detailed proof of the equivalence of S-matrices in superstring field theory with homotopy algebra, confirming consistency with first-quantized results.

Findings

Tree-level S-matrices agree with first-quantized formulations.

Proof provided explicitly for heterotic string field theory.

Extensions to type II and open superstring theories are straightforward.

Abstract

We show that the tree-level S-matrices of the superstring field theories based on the homotopy-algebra structure agree with those obtained in the first-quantized formulation. The proof is given in detail for the heterotic string field theory. The extensions to the type II and open superstring field theories are straightforward.