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Singularities and Gauge Theory Phases

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arxiv 1402.6331 v2 pith:NIOFODZW submitted 2014-02-25 hep-th math.AG

Mboyo Esole , Shu-Heng Shao , Shing-Tung Yau This is my paper · ORCID
classification hep-thmath.AG
keywords coulombresolutionsbranchellipticbranchescorrespondcorrespondencefibrations
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Motivated by M-theory compactification on elliptic Calabi-Yau threefolds, we present a correspondence between networks of small resolutions for singular elliptic fibrations and Coulomb branches of five-dimensional N=1 gauge theories. While resolutions correspond to subchambers of the Coulomb branch, partial resolutions correspond to higher codimension loci at which the Coulomb branch intersects the Coulomb-Higgs branches. Flops between different resolutions are identified with reflections on the Coulomb branch. Physics aside, this correspondence provides an interesting link between elliptic fibrations and representation theory.

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  1. (-1)-form symmetries from M-theory and SymTFTs

    hep-th 2024-11 conditional novelty 6.0 of 10

    A systematic M-theory construction of SymTFTs for discrete and continuous (-1)-form symmetries, with a new 4-group structure in 4d N=1 SYM from G2 manifolds.

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