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GLSMs, joins, and nonperturbatively-realized geometries

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arxiv 1907.04350 v2 pith:M7AJU3D3 submitted 2019-07-09 hep-th math.AG

Johanna Knapp , Eric Sharpe This is my paper · ORCID
classification hep-thmath.AG
keywords geometriesglsmsrealizeddualglsmjoinscalabi-yausterms
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In this work we give a gauged linear sigma model (GLSM) realization of pairs of homologically projective dual Calabi-Yaus that have recently been constructed in the mathematics literature. Many of the geometries can be realized mathematically in terms of joins. We discuss how joins can be described in terms of GLSMs and how the associated Calabi-Yaus arise as phases in the GLSMs. Due to strong-coupling phenomena in the GLSM, the geometries are realized via a mix of perturbative and non-perturbative effects. We apply two-dimensional gauge dualities to construct dual GLSMs. Geometries that are realized perturbatively in one GLSM, are realized non-perturbatively in the dual, and vice versa.

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Cited by 2 Pith papers

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

  1. Smoothing Calabi-Yau toric hypersurfaces using the Gross-Siebert algorithm

    math.AG 2019-09 conditional novelty 6.0 of 10

    Constructing tropical manifolds from reflexive polytopes yields 14 conditional new Calabi-Yau threefold topological types with b2 = 1.

  2. A toolkit for twisted chiral superfields

    hep-th 2019-08 conditional novelty 4.0 of 10

    The paper presents an explicit component-form toolkit for Lagrangians of twisted chiral superfields, including mixed chiral/twisted-chiral terms, but the results are mostly known and the derivation of the mixed case i...

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