Witten's Cubic Vertex in the Comma Theory (I)

TL;DR

This paper demonstrates that Witten's cubic vertex satisfies the comma overlap equations, establishing the equivalence between the conventional and comma formulations of interacting string theory at the vertex level.

Contribution

It explicitly proves the equivalence of Witten's cubic vertex with the comma formulation, clarifying their relationship in string interaction models.

Findings

Witten's vertex solves the comma overlap equations.

Equivalence between conventional and comma string theory formulations.

Clarification of vertex-level correspondence in string interactions.

Abstract

In is shown explicitly that the Witten's interaction 3-vertex is a solution to the comma overlap equations; hence establishing the equivalence between the conventional and the "comma" formulation of interacting string theory at the level of vertices.