Representations of the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order $2$

Abstract

Let $V_L$ be the vertex algebra associated to a non-degenerate even lattice $L$, $\theta$ the automorphism of $V_L$ induced from the $-1$-isometry of $L$, and $V_L^{+}$ the fixed point subalgebra of $V_L$ under the action of $\theta$. We show that every weak $V_L^{+}$-module is completely reducible.

30 pages. arXiv admin note: text overlap with arXiv:1910.07126

Cited by in corpus (1)

• The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order $2$ (Part $1$)