A Note on Cubic Interactions in PP-Wave Light Cone String Field Theory

TL;DR

This paper investigates the structure of string interactions in pp-wave light-cone string field theory, clarifying discrepancies in interaction coefficients and analyzing off-shell processes to deepen understanding of string dynamics.

Contribution

It clarifies the discrepancy between supergravity and full string Neumann coefficients and simplifies the prefactor to an energy difference expression.

Findings

Resolved the discrepancy in Neumann coefficients

Simplified the prefactor to an energy difference

Discussed off-shell three-string interactions

Abstract

We study the string modes in the pp-wave light-cone string field theory. First, we clarify the discrepancy between the Neumann coefficients for the supergravity vertex and the zero mode of the full string one. We also repeat our previous manipulation of the prefactor for the string modes and find that the prefactor reduces to the energy difference of the cos modes minus that of the sin modes. Finally, we discuss off-shell three-string processes.