$C_2$-cofiniteness of the vertex algebra $V_L^{+}$ when $L$ is a non-degenerate even lattice

Phichet Jitjankarn, Gaywalee Yamskulna

It was shown by Abe, Buhl and Dong that the vertex algebra $V_L^{+}$ and its irreducible weak modules satisfy the $C_2$-cofiniteness condition when $L$ is a positive definite even la…