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

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.

15 pages

Cited by in corpus (14)

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• Noncompact Symmetries in String Theory
• Higher Twisted Sector Couplings of $Z_N$ Orbifolds
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• U-Invariants, Black-Hole Entropy and Fixed Scalars
• Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold
• Duality and Spontaneously Broken Supergravity in Flat Backgrounds
• Narain to Narnia
• Integrability of Supergravity Black Holes and New Tensor Classifiers of Regular and Nilpotent Orbits
• Special geometry and symplectic transformations
• Extremal Multicenter Black Holes: Nilpotent Orbits and Tits Satake Universality Classes
• Modular Groups for Twisted Narain Models
• Kahler Potentials For Orbifolds With Continuous Wilson Lines And The Symmetries Of The String Action.