Abstract
Free fermion representations of four-dimensional superstrings compactified on T 6/ Z 4 and T 6/ Z 8 orbifolds are constructed. The underlying boson-fermion equivalence reduces to identities for products of Jacobi θ-functions with rational arguments which are derived. Some obstacles to construct the fermionic realizations of the remaining orbifolds consistent with superstring compactification are pointed out.
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