Extensions of tensor products of Zp-orbifold models of the lattice vertex operator algebra V2Ap−1

Let p be an odd prime and let σˆ be an order p automorphism of V2Ap−1 which is a lift of a p-cycle in the Weyl group Weyl(Ap−1)≅Sp. We study a certain extension V of a tensor product of finitely many copies of the orbifold model V2Ap−1〈σˆ〉 and give a criterion for V that every irreducible V-module is a simple current.