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

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arxiv hep-th/9204040 v1 pith:IDINZL6Y submitted 1992-04-10 hep-th

classification hep-th
keywords moduliorbifoldspacegrouplatticeactionallowsapplication
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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