Relationship between two Calabi--Yau orbifolds arising as hyper--surfaces in a quotient of the same weighted projective space

Alexander Belavin; Doron Gepner

doi:10.1016/j.nuclphysb.2023.116313

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arXiv · 2306.06667

Relationship between two Calabi--Yau orbifolds arising as hyper--surfaces in a quotient of the same weighted projective space

Alexander Belavin·Doron Gepner

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Abstract

In this article we consider a question: what is the relation between two Calabi-Yau manifolds of two different Berglund--Hubsch types if they appear as hyper--surfaces in the quotient of the same weighted projective space. We show that that these manifolds are connected by a special change of coordinates, which we call the resonance transformation.

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Alexander Belavin, Doron Gepner. 2023-06-11. Relationship between two Calabi--Yau orbifolds arising as hyper--surfaces in a quotient of the same weighted projective space. https://doi.org/10.1016/j.nuclphysb.2023.116313

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