Sewing string tree vertices using canonical forms

TL;DR

This paper presents a method for sewing vertices with ghosts into a composite vertex using canonical forms, applicable to cycling transformations, by separating bosonic and ghost parts.

Contribution

It introduces a canonical form approach for sewing vertices with ghosts, extending the generality of vertex composition in quantum field theory.

Findings

Effective sewing of vertices with ghosts demonstrated

Canonical forms facilitate vertex composition in cycling transformations

Method applicable to complex vertex constructions

Abstract

We effectively sew two vertices with ghosts in order to obtain a third, composite vertex in the most general case of cycling transformations. In order to do this, we separate the vertices into two parts: a bosonic oscillator part and a ghost oscillator part and write them as canonical forms.