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

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.

29 pages