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arXiv · 1402.6331

Singularities and Gauge Theory Phases

Mboyo Esole·Shu-Heng Shao·Shing-Tung Yau
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Abstract

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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Mboyo Esole, Shu-Heng Shao, Shing-Tung Yau. 2014-02-25. Singularities and Gauge Theory Phases. https://arxiv.org/abs/1402.6331

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