Extensions of tensor products of Zp-orbifold models of the lattice vertex operator algebra V√2Ap-1

Let p be an odd prime and let (sigma) over cap be an order p automorphism of V root 2Ap-1 which is a lift of a p-cycle in the Weyl group Weyl(A(p-1)) congruent to G(p). We study a certain extension V of a tensor product of finitely many copies of the orbifold model V-root 2Ap-1(<(sigma) over cap) and give a criterion for V that every irreducible V-module is a simple current. (C) 2018 Elsevier Inc. All rights reserved.