Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties
Abstract
The two-dimensional supersymmetric gauged linear sigma model (GLSM) with abelian gauge groups and matter fields has provided many insights into string theory on Calabi--Yau manifolds of a certain type: complete intersections in toric varieties. In this paper, we consider two GLSM constructions with nonabelian gauge groups and charged matter whose infrared CFTs correspond to string propagation on determinantal Calabi-Yau varieties, furnishing another broad class of Calabi-Yau geometries in addition to complete intersections. We show that these two models -- which we refer to as the PAX and the PAXY model -- are dual descriptions of the same low-energy physics. Using GLSM techniques, we determine the quantum K\"ahler moduli space of these varieties and find no disagreement with existing results in the literature.
Keywords
Cite
@article{arxiv.1205.3192,
title = {Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties},
author = {Hans Jockers and Vijay Kumar and Joshua M. Lapan and David R. Morrison and Mauricio Romo},
journal= {arXiv preprint arXiv:1205.3192},
year = {2015}
}
Comments
v3: 46 pages, 1 figure. Corrected phase structure of general linear determinantal varieties. Typos corrected