GLSM for Berglund-Hübsch Type Calabi-Yau Manifolds

In this note we briefly present the results of our computation of special Kahler geometry for polynomial deformations of Berglund-Hubsch 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 Kahler potential of the special metric.