88 citations · 572 across the 38 of their papers we have counts for
37 papers
Relationship between two Calabi--Yau orbifolds arising as hyper--surfaces in a quotient of the same weighted projective space
Alexander Belavin, Doron Gepner
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 quoti…
Explicit construction of SCFT orbifold models. Spectral flow and mutual locality
Alexander Belavin, Vladimir Belavin, Sergey Parkhomenko
In this work we present a new approach to constructing Calabi-Yau orbifold models required for compactification in superstring theory. We use the connection of CY orbifolds with th…
Periods of the multiple Berglund-Huebsch-Krawitz mirrors
Alexander Belavin, Vladimir Belavin, Gleb Koshevoy
We consider the multiple Calaby-Yau (CY) mirror phenomenon which appears in Berglund-Hübsch-Krawitz (BHK) mirror symmetry. We show that for any pair of Calabi--Yau orbifolds that a…
On the equivalence of Batyrev and BHK Mirror symmetry constructions
Alexander Belavin, Boris Eremin
We consider the connection between two constructions of the mirror partner for the Calabi-Yau orbifold. This orbifold is defined as a quotient by some suitable subgroup of the…
Coincidences between Calabi-Yau manifolds of Berglund-Hubsch type and Batyrev polytopes
Mikhail Belakovskiy, Alexander Belavin
In this article, we consider the phenomenon of complete coincidence of the key properties of pairs of Calabi-Yau manifolds realized as hypersurfaces in two different weighted proje…
GLSM for Calabi-Yau Manifolds of Berglund-Hubsch Type
Konstantin Aleshkin, Alexander Belavin
In this note we briefly present the results of our computation of special Kähler geometry for polynomial deformations of Berglund-Hübsch type Calabi-Yau manifolds. We also build mi…