TH String Theory Seminar

A Generalized Construction of Calabi-Yau Manifolds and Mirror Symmetry

by Prof. Per Berglund (University of New Hampshire)

4/2-037 - TH meeting room (CERN)

4/2-037 - TH meeting room


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We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties. This provides a generalization of Batyrev’s original work, allowing us to construct new pairs of mirror manifolds. In particular,  we find novel K3-fibered Calabi-Yau manifolds, relevant for type IIA/heterotic duality in d=4, N=2, string compactifications. We also calculate the three-point functions in the A-model following Morrison-Plesser, and find perfect agreement with the B-model result using the Picard-Fuchs equations on the mirror manifold.