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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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