2013

On Classifying the Divisor Involutions in Calabi-Yau Threefolds

Gao, Xin, Shukla, Pramod

Understand

In order to support the odd moduli in models of (type IIB) string compactification, we classify the Calabi-Yau threefolds with h^{1,1}<=4 which exhibit pairs of identical divisors, with different line-bundle charges, mapping to each other under possible divisor exchange involutions.

For this purpose, the divisors of interest are identified as completely rigid surface, Wilson surface, K3 surface and some other deformation surfaces.
Subsequently, various possible exchange involutions are examined under the symmetry of Stanley-Reisner Ideal.
In addition, we search for the Calabi-Yau theefolds which contain a divisor with several disjoint components.

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