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arxiv: hep-th/9204040 · v1 · submitted 1992-04-10 · ✦ hep-th

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On the Moduli Space of the T⁶/Z₃ Orbifold and Its Modular Group

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classification ✦ hep-th
keywords moduliorbifoldspacegrouplatticeactionallowsapplication
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We describe the duality group $\Gamma=SU(3,3,Z)$ 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.

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