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On the moduli space of the T 6 /Z 3 orbifold and its modular group

1992/04/10 by S Ferrara, S. Ferrara, P. Frè +3 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Geometry and complex manifolds #hep-th

paper · pdf · doi:10.1088/0264-9381/9/7/002

published as Class.Quant.Grav.9:1649-1662,1992 · 15 pages

arxiv created 1992/04/10 · openalex publication_date 1992/07/01 · arxiv updated 2010/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The authors 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 M 3.3 / Gamma , where M 3.3 =SU(3, 3)/(SU(3)(X)SU(3)(X)U(1)). A symplectic embedding of the momenta and winding numbers allows them to connect the orbifold lattice to the special geometry of M 3.3 . 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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