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Calabi-Yau shape

Brainee
in Modern and Theoretical Physics

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Are there 7-dimensional Calabi-Yau shapes instead of the usual 6-dimensional Calabi-Yau shapes?

Calabi-Yau manifolds are Kahler manifolds.

Kahler manifolds are symplectic manifolds.

Symplectic manifolds are always even-dimensional.

So no.

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    In M-theory there are 11-dimensional while in usual string super theory there are 10 dimensions. Usual super string theory uses calabi-yau shapes.

     

     

     

     

     

     

     

     

     

     

     

     

     

     

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