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

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

2004-02-16

arxiv.org/abs/hep-th/0402119v2

J.Math.Phys. 46 (2005) 043511

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, v2: version to be published

Scientific paper

10.1063/1.1873038

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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