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

Mason, Geoffrey; Mertens, Michael

doi:10.1090/tran/8861

$1$-Point functions for symmetrized Heisenberg and symmetrized lattice vertex operator algebras
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by Geoffrey Mason and Michael H. Mertens;

Trans. Amer. Math. Soc. 376 (2023), 3663-3693

DOI: https://doi.org/10.1090/tran/8861

Published electronically: February 10, 2023

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Abstract:

We obtain explicit formulas for the $1$-point functions of all states in the symmetrized Heisenberg algebra $M^+$ and symmetrized lattice vertex operator algebras $V_L^+$. For this we employ a new $\mathbf {Z}_2$-twisted variant of so-called Zhu recursion.

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