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

  title={On toric geometry , Spin ( 7 ) manifolds , and type II superstring compactifications},
  author={Adil Belhaj and J. Rasmussen},
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, 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… CONTINUE READING

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