Twelve-Dimensional Aspects of Four-Dimensional N=1 Type I Vacua

Abstract

Four-dimensional supergravity theories are reinterpreted in a 12-dimensional F-theory framework. The O(8) symmetry of N=8 supergravity is related to a reduction of F-theory on T_8, with the seventy scalars formally associated, by O(8) triality, to a fully compactified four-form A_4. For the N=1 type I model recently obtained from the type IIB string on the Z orbifold, we identify the Kähler manifold of the untwisted scalars in the unoriented closed sector with the generalized Siegel upper-half plane Sp(8,R)/(SU(4) \times U(1)). The SU(4) factor reflects the holonomy group of Calabi-Yau fourfolds.

12 pages, LaTeX

References in corpus (4)

• Dirichlet-Branes and Ramond-Ramond Charges
• Unity of Superstring Dualities
• Fivebranes, Membranes and Non-Perturbative String Theory
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Cited by in corpus (10)

• Vector Bundles And F Theory
• Surprises in Open-String Perturbation Theory
• A Note on Toroidal Compactifications of the Type I Superstring and Other Superstring Vacuum Configurations with 16 Supercharges
• On Four-Dimensional Compactifications of F-Theory
• Membrane tension and manifest IIB S-duality
• On Four Dimensional N=1 Type I Compactifications
• The twelve dimensional super (2+2)-brane
• Consistent and covariant anomalies in six-dimensional supergravity
• Unification of M- and F- Theory Calabi-Yau Fourfold Vacua
• Aspetti non perturbativi della Teoria delle Stringhe