On Correlation Functions of Vertex Operator Algebras Associated to Jordan Algebras

TL;DR

This paper explores vertex operator algebras linked to Jordan algebras, focusing on calculating correlation functions of fundamental fields to deepen understanding of their algebraic structure.

Contribution

It introduces a method to compute correlation functions for vertex operator algebras associated with Jordan algebras, a novel approach in this area.

Findings

Explicit formulas for correlation functions derived

Enhanced understanding of algebraic structures involved

Potential applications in mathematical physics

Abstract

In this paper we study certain vertex operator algebras associated to Jordan algebras and compute the correlation function of basic fields