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2012

Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties

Jockers, Hans, Kumar, Vijay, Lapan, Joshua M. et al.

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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.

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