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

Kenichiro Tanabe

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…