Two-sphere partition functions and Kähler potentials on CY moduli spaces
K. Aleshkin+*, A. Belavin+×, A. Litvinov+×
+Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia
*International School of Advanced Studies (SISSA), 34136 Trieste, Italy
×Kharkevich Institute for Information Transmission Problems, 127994 Moscow, Russia
Abstract
We study the relation between exact partition functions of gauged
N=(2,2) linear sigma-models on S2 and Kähler potentials of Calabi-Yau
manifolds proposed by Jockers et al. We suggest to use a mirror version
of this relation. For a class of manifolds given by a Fermat
hypersurfaces in weighted projective space we check the relation by
explicit calculation.