Abstract
We obtain the orbifold Virasoro master equation (OVME) at integer order lambda, which summarizes the general Virasoro construction on orbifold affine algebra. The OVME includes the Virasoro master equation when lambda=1 and contains large classes of stress tensors of twisted sectors of conventional orbifolds at higher lambda. The generic construction is like a twisted sector of an orbifold (with non-zero ground state conformal weight) but new constructions are obtained for which we have so far found no conventional orbifold interpretation.
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