Extensions of tensor products of ${\mathbb{Z}}_p$-orbifold models of the lattice vertex operator algebra $V_{\sqrt{2}{A}_{p-1}}$

Toshiyuki Abe, Ching Hung Lam, Hiromichi Yamada

Let $p$ be an odd prime and let $\hat{\sigma }$ be an order $p$ automorphism of $V_{\sqrt{2}{A}_{p-1}}$ which is a lift of a $p$-cycle in the Weyl group ${\rm Weyl}(A_{p-1})\cong {\mathf…