On toric geometry, Spin(7) manifolds, and type II superstring compactifications

Adil Belhaj; Jorgen Rasmussen

doi:10.1063/1.1873038

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arXiv · hep-th/0402119

On toric geometry, Spin(7) manifolds, and type II superstring compactifications

Adil Belhaj·Jorgen Rasmussen

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Abstract

We consider type II superstring compactifications on the singular Spin(7) manifold constructed as a cone on SU(3)/U(1). Based on a toric realization of the projective space CP^2, we discuss how the manifold can be viewed as three intersecting Calabi-Yau conifolds. The geometric transition of the manifold is then addressed in this setting. The construction is readily extended to higher dimensions where we speculate on possible higher-dimensional geometric transitions. Armed with the toric description of the Spin(7) manifold, we discuss a brane/flux duality in both type II superstring theories compactified on this manifold.

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BibTeX RIS

Adil Belhaj, Jorgen Rasmussen. 2005-01-21. On toric geometry, Spin(7) manifolds, and type II superstring compactifications. https://doi.org/10.1063/1.1873038

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