JKLMR conjecture and Batyrev construction
Abstract
We study a mirror interpretation of the relation between the exact partition functions of gauged linear sigmamodels (GLSM) on S ^{2} and Kähler potentials on the moduli spaces of the CY manifolds proposed by Jockers et al. We use the Batyrev mirror construction for establishing the explicit relation between GLSM and the corresponding mirror family of the CalabiYau manifolds, defined as hypersurfaces in weighted projective spaces. We demonstrate how to do this by the explicit calculation in the case of the quintic threefold and its mirror.
 Publication:

Journal of Statistical Mechanics: Theory and Experiment
 Pub Date:
 March 2019
 DOI:
 10.1088/17425468/ab081a
 arXiv:
 arXiv:1812.00478
 Bibcode:
 2019JSMTE..03.4003A
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 Misprints corrected