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arxiv: 1907.06552 · v2 · submitted 2019-07-15 · 🧮 math.QA · hep-th· math-ph· math.AG· math.MP· math.RT

Coulomb branches of quiver gauge theories with symmetrizers

Hiraku Nakajima , Alex Weekes This is my paper
classification 🧮 math.QA hep-thmath-phmath.AGmath.MPmath.RT
keywords arxivbranchescoulombgaugequantizationsquiversymmetrizerstheories
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We generalize the mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ SUSY quiver gauge theories in arXiv:1503.03676, arXiv:1601.03686, arXiv:1604.03625 to the cases with symmetrizers. We obtain generalized affine Grassmannian slices of type $BCFG$ as examples of the construction, and their deformation quantizations via truncated shifted Yangians. Finally, we study modules over these quantizations and relate them to the lower triangular part of the quantized enveloping algebra of type $ADE$.

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  1. Quiver Yangians as Coulomb branch algebras

    hep-th 2025-02 unverdicted novelty 6.0

    Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.