Landau-Ginzburg Vacua of String, M- and F-Theory at c=12

Details Landau-Ginzburg Vacua of String, M- and F-Theory at c=12 Landau-Ginzburg Vacua of String, M- and F-Theory at c=12

1998-12-22

arxiv.org/abs/hep-th/9812195v1

Nucl.Phys. B550 (1999) 123-150

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 33 pages, 10 PostScript figures using epsfig and psfig

Scientific paper

10.1016/S0550-3213(99)00204-7

Theories in more than ten dimensions play an important role in understanding nonperturbative aspects of string theory. Consistent compactifications of such theories can be constructed via Calabi-Yau fourfolds. These models can be analyzed particularly efficiently in the Landau-Ginzburg phase of the linear sigma model, when available. In the present paper we focus on those sigma models which have both a Landau-Ginzburg phase and a geometric phase described by hypersurfaces in weighted projective five-space. We describe some of the pertinent properties of these models, such as the cohomology, the connectivity of the resulting moduli space, and mirror symmetry among the 1,100,055 configurations which we have constructed.

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