1-Point Functions for $\mathbb{Z}_2$-Orbifolds of Lattice VOAs

TL;DR

This paper calculates all 1-point correlation functions for states in the $ obreak\mathbb{Z}_2$-orbifolds of lattice vertex operator algebras, advancing understanding of their structure.

Contribution

It provides explicit computations of 1-point functions for $ obreak\mathbb{Z}_2$-orbifold lattice VOAs, a novel contribution to the field.

Findings

Computed all 1-point correlation functions for the orbifold VOAs.

Enhanced understanding of the structure of $ obreak\mathbb{Z}_2$-orbifolds.

Established methods applicable to similar orbifold models.

Abstract

In this paper, we compute the 1-point correlation functions of all states for the $\mathbb{Z}_2$-orbifolds of lattice vertex operator algebras.