Mirror Symmetry and Partition Functions
High Energy Physics - Theory
2021-10-27 v3
Abstract
Localization methods have produced explicit expressions for the sphere partition functions of (2,2) superconformal field theories. The mirror symmetry conjecture predicts an IR duality between pairs of Abelian gauged linear sigma models, a class of which describe families of Calabi-Yau manifolds realizable as complete intersections in toric varieties. We investigate this prediction for the sphere partition functions and find agreement between that of a model and its mirror up to the scheme-dependent ambiguities inherent in the definitions of these quantities.
Cite
@article{arxiv.1902.05552,
title = {Mirror Symmetry and Partition Functions},
author = {Travis Maxfield and David R. Morrison and M. Ronen Plesser},
journal= {arXiv preprint arXiv:1902.05552},
year = {2021}
}
Comments
v3: corrected an equation