More about all current-algebraic orbifolds

Recently a construction was given for the stress tensors of all sectors of the general current-algebraic orbifold A(H)/H, where A(H) is any current-al gebraic conformal field theory with a finite symmetry group H. Here we exte nd and further analyze this construction to obtain the mode formulation of each sector of each orbifold A(H)IH, including the twisted current algebra, the Virasoro generators, the orbifold adjoint operation and the commutator of the Virasoro generators with the modes of the twisted currents. As appl ications, general expressions are obtained for the twisted current-current correlator and ground state conformal weight of each twisted sector of any permutation orbifold A(H)/H, H subset of S-N. Systematics are also outlined for the orbifolds A(Lieh(H))/H of the (H and Lie h)-invariant conformal fi eld theories, which include the general WZW orbifold and the general coset orbifold. Finally, two new large examples are worked out in further detail: the general SN permutation orbifold A(S-N)/S-N and the general inner-autom orphic orbifold A(H(d))/H(d).