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

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.

Automated summary

The study demonstrates that the tree-level S-matrices of superstring field theories based on the homotopy-algebra structure align with those obtained in the first-quantized formulation. A detailed proof is provided for the heterotic string field theory, with extensions to the type II and open superstring field theories being straightforward.