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

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

1992-04-10

arxiv.org/abs/hep-th/9204040v1

Class.Quant.Grav.9:1649-1662,1992

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1088/0264-9381/9/7/002

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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