2012/05/31 by Hans Jockers, Vijay Kumar, Joshua M. Lapan +2 · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Calabi–Yau manifold #Gauge group #Gauge theory #Mathematical physics #Mathematics #Moduli space #Nonlinear Waves and Solitons #Physics #Pure mathematics #String (physics) #String theory #Theoretical physics #hep-th #math.AG
paper · pdf · doi:10.1007/jhep11(2012)166
v3: 46 pages, 1 figure. Corrected phase structure of general linear determinantal varieties. Typos corrected
openalex publication_date 2012/11/01 · arxiv created 2012/11/07 · arxiv updated 2015/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.