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Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties

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arxiv 1205.3192 v3 pith:NGIX7QJV submitted 2012-05-14 hep-th math.AG

Hans Jockers , Vijay Kumar , Joshua M. Lapan , David R. Morrison , Mauricio Romo This is my paper · ORCID
classification hep-thmath.AG
keywords varietiescalabi-yaugaugeglsmcompletedeterminantalgroupsintersections
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. GLSM monodromy on quantum period lattice of Calabi-Yau fourfold flops

    hep-th 2026-08 conditional novelty 6.0 of 10

    For Calabi-Yau fourfold flops, the window-shift monodromy equals an EZ twist composed with tensoring by the canonical bundle, and in two example families this twist decomposes into spherical twists.

  2. Schubert defects in Lagrangian Grassmannians

    hep-th 2025-02 conditional novelty 6.0 of 10

    A GLSM defect construction for Schubert cycles in Lagrangian Grassmannians is proposed and checked, with defect indices equal to Schur Q-functions in quantum cohomology and quantum K theory.

  3. Monodromy of Calabi-Yau threefold flops via grade restriction rule and their quantum Kahler moduli

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    Derives general formula for monodromy action on B-brane charge lattice via hemisphere partition functions in GLSMs and refines it for examples using quantum Kähler discriminant and torus link fundamental groups.

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