GLSM for Berglund-Hübsch Type Calabi-Yau manifolds
K. Aleshkin+ 1), A. Belavin*×°
+Columbia University, Department of Mathematics, 2990 Broadway, New York, NY 10027, USA
*L. D. Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia
×Moscow Institute of Physics and Technology, 141700 Dolgoprudnyi, Russia
°Institute for Information Transmission Problems, 127051 Moscow, Russia
Abstract
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 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.