1-point functions for symmetrized Heisenberg and symmetrized lattice vertex operator algebras

TL;DR

This paper derives explicit formulas for 1-point functions in symmetrized Heisenberg and lattice vertex operator algebras using a novel Z2-twisted Zhu recursion method.

Contribution

It introduces a new Z2-twisted Zhu recursion technique to compute 1-point functions in symmetrized VOAs, providing explicit formulas for all states.

Findings

Explicit formulas for 1-point functions in symmetrized Heisenberg algebra

Explicit formulas for 1-point functions in symmetrized lattice VOAs

Development of a Z2-twisted Zhu recursion method

Abstract

We obtain explicit formulas for the $1$-point functions of all states in the symmetrized Heisenberg algebra $M^+$ and symmetrized lattice VOAs $V_L^+$. For this we employ a new $\mathbf Z_2$-twisted variant of so-called Zhu recursion.