Two-Sphere Partition Functions and Kähler Potentials on CY Moduli Spaces


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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 using a mirror version of this relation. For a class of manifolds given by Fermat hypersurfaces in weighted projective spaces, we check the relation by explicit calculation.

About the authors

K. Aleshkin

Landau Institute for Theoretical Physics; International School of Advanced Studies (SISSA)

Email: sashabelavin@gmail.com
Russian Federation, Chernogolovka, Moscow region, 142432; Trieste, 34136

A. Belavin

Landau Institute for Theoretical Physics; Kharkevich Institute for Information Transmission Problems

Author for correspondence.
Email: sashabelavin@gmail.com
Russian Federation, Chernogolovka, Moscow region, 142432; Moscow, 127994

A. Litvinov

Landau Institute for Theoretical Physics; Kharkevich Institute for Information Transmission Problems

Email: sashabelavin@gmail.com
Russian Federation, Chernogolovka, Moscow region, 142432; Moscow, 127994

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