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On the Moduli Space of the $T^6/Z_3$ Orbifold and Its Modular Group

We describe the duality group $Γ=SU(3,3,Z)$ for the Narain lattice of the $T^6/Z_3$ orbifold and its action on the corresponding moduli space. A symplectic embedding of the momenta and winding numbers allows us to connect the orbifold lattice to the special geometry of the moduli space. As an application, a formal expression for an automorphic function, which is a candidate for a non--perturbative superpotential, is given.

preprint1992arXivOpen access

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