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On the Calculation of the Special Geometry for a Calabi—Yau Loop Manifold and Two Constructions of the Mirror Manifold

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Abstract

The Kähler potentials have been calculated on the moduli space of complex structures for two Calabi-Yau manifolds specified as hypersurfaces in weighted projective spaces. Mirror images of these manifolds have been found according to the Batyrev and Berglund—Hübsch constructions and their equivalence has been demonstrated.

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Acknowledgments

We are grateful to A. Belavin and M. Belakovskii for the stimulating discussions.

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia

    A. A. Artem’ev & I. V. Kochergin

  2. Moscow Institute of Physics and Technology, National Research University, Dolgoprudnyi, Moscow region, 141701, Russia

    A. A. Artem’ev & I. V. Kochergin

Authors
  1. A. A. Artem’ev
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  2. I. V. Kochergin
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Corresponding authors

Correspondence to A. A. Artem’ev or I. V. Kochergin.

Additional information

Russian Text © The Author(s), 2020, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 112, No. 5, pp. 291–296.

Funding

This work was supported by the Russian Science Foundation (project no. 18-12-00439)

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Artem’ev, A.A., Kochergin, I.V. On the Calculation of the Special Geometry for a Calabi—Yau Loop Manifold and Two Constructions of the Mirror Manifold. Jetp Lett. 112, 263–268 (2020). https://doi.org/10.1134/S0021364020170051

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  • DOI: https://doi.org/10.1134/S0021364020170051

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