A Four-Reggeon Vertex for ${\bf Z}_3$ Twisted Fermionic Fields

TL;DR

This paper constructs a four-Reggeon vertex for ${f Z}_3$-twisted fermionic fields using operator sewing techniques, extending previous methods to a new twisted fermionic context.

Contribution

It introduces a novel four-Reggeon vertex for ${f Z}_3$-twisted fermionic fields, generalizing existing constructions for Ramond fields.

Findings

Derived a closed-form ${f Z}_3$ vertex consistent with sewing results

Extended operator sewing techniques to ${f Z}_3$-twisted fermions

Provided a new tool for analyzing twisted fermionic string interactions

Abstract

Using operator sewing techniques we construct the Reggeon vertex involving four external ${\bf Z}_3$-twisted complex fermionic fields. Generalizing a procedure recently applied to the ordinary Ramond four-vertex, we deduce the closed form of the ${\bf Z}_3$ vertex by demanding it to reproduce the results obtained by sewing.