Sphere partition function of Calabi-Yau GLSMs
Abstract
The sphere partition function of Calabi-Yau gauged linear sigma models (GLSMs) has been shown to compute the exact Kaehler potential of the Kaehler moduli space of a Calabi-Yau. We propose a universal expression for the sphere partition function evaluated in hybrid phases of Calabi-Yau GLSMs that are fibrations of Landau-Ginzburg orbifolds over some base manifold. Special cases include Calabi-Yau complete intersections in toric ambient spaces and Landau-Ginzburg orbifolds. The key ingredients that enter the expression are Givental's I/J-functions, the Gamma class and further data associated to the hybrid model. We test the proposal for one- and two-parameter abelian GLSMs, making connections, where possible, to known results from mirror symmetry and FJRW theory.
Cite
@article{arxiv.2008.03089,
title = {Sphere partition function of Calabi-Yau GLSMs},
author = {David Erkinger and Johanna Knapp},
journal= {arXiv preprint arXiv:2008.03089},
year = {2022}
}
Comments
55 pages; v2: extended discussion in Section 3.3, further corrections and clarifications, references added