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Gauge Linear Sigma Model for Berglund—Hübsch-Type Calabi—Yau Manifolds

  • Fields, Particles, and Nuclei
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Abstract

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 mirror symmetric Gauge Linear Sigma Model and check that its partition function computed by supersymmetric localization coincides with exponent of the Kähler potential of the special metric.

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Acknowledgments

We are grateful to N. Doroud, A. Litvinov, and M. Romo for useful discussions

Funding

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

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Authors and Affiliations

  1. Department of Mathematics, Columbia University, New York, NY, 10027, USA

    K. Aleshkin

  2. Landau Institute for Theoretical Physics, Chernogolovka, Moscow region, 142432, Russia

    A. Belavin

  3. Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow region, 141700, Russia

    A. Belavin

  4. Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127051, Russia

    A. Belavin

Authors
  1. K. Aleshkin
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  2. A. Belavin
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Corresponding authors

Correspondence to K. Aleshkin or A. Belavin.

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Aleshkin, K., Belavin, A. Gauge Linear Sigma Model for Berglund—Hübsch-Type Calabi—Yau Manifolds. Jetp Lett. 110, 711–714 (2019). https://doi.org/10.1134/S0021364019230012

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  • DOI: https://doi.org/10.1134/S0021364019230012

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