Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties

Hans Jockers Vijay Kumar Joshua M. Lapan David R. Morrison Mauricio Andrés Romo Jorquera

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2206.74011

2012.11
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 Kähler moduli space of these varieties and find no disagreement with existing results in the literature.
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@inproceedings{hans2012nonabelian,
  title={Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties},
  author={Hans Jockers, Vijay Kumar, Joshua M. Lapan, David R. Morrison, and Mauricio Andrés Romo Jorquera},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220607141603509641334},
  year={2012},
}
Hans Jockers, Vijay Kumar, Joshua M. Lapan, David R. Morrison, and Mauricio Andrés Romo Jorquera. Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties. 2012. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220607141603509641334.
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