Fixed Point Resolution in Extensions of Permutation Orbifolds

We determine the simple currents and fixed points of the orbifold theory CFT ⊗CFT/Z2, given the simple currents and fixed point of the original CFT . We see in detail how this works for the SU(2)k WZW model, focusing on the field content (i.e. h-spectrum of the primary fields) of the theory. We also look at the fixed point resolution of the simple current extended orbifold theory and determine the S matrices associated to each simple current for SU(2)2 and for the B(n)1 and D(n)1 series.