Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 22 (2026), 048, 23 pages      arXiv:2505.02954      https://doi.org/10.3842/SIGMA.2026.048
Contribution to the Special Issue on Recent Advances in Vertex Operator Algebras in honor of James Lepowsky

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

Maneesha Ampagouni
Department of Mathematics, University of California, Santa Cruz, 1156 High St, Santa Cruz, CA 95064, USA

Received May 07, 2025, in final form May 03, 2026; Published online May 13, 2026

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.

Key words: one-point functions; trace functions; modular invariance; lattice vertex operator algebra; orbifold theory; vertex operator algebra.

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