Laurent Expansions for Vertex Operators

TL;DR

This paper introduces a method using coherent vectors to explicitly compute Schur polynomials as Laurent expansion coefficients of vertex operators, enhancing understanding of their algebraic structure.

Contribution

It presents a novel approach employing coherent vectors to derive explicit Laurent expansions of vertex operators in terms of Schur polynomials.

Findings

Explicit formulas for Schur polynomial coefficients

Enhanced computational method for vertex operator expansions

Deeper insight into algebraic structure of vertex operators

Abstract

A method is presented for using coherent vectors to calculate the explicit form of Schur polynomials which are the coefficients of Laurent expansion of a vertex operator.