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$K$-theoretic Coulomb branches of quiver gauge theories and cluster varieties

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 نشر من قبل Alexander Shapiro
 تاريخ النشر 2019
  مجال البحث فيزياء
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Let $mathscr{A}_q$ be the $K$-theoretic Coulomb branch of a $3d$ $mathcal{N}=4$ quiver gauge theory with quiver $Gamma$, and $mathscr{A}_q subseteq mathscr{A}_q$ be the subalgebra generated by the equivariant $K$-theory of a point together with the dressed minuscule monopole operators $M_{varpi_{i,1},f}$ and $M_{varpi^*_{i,1},f}$. In this paper, we construct an associated cluster algebra quiver $mathcal{Q}_Gamma$ and provide an embedding of the subalgebra $mathscr{A}_q$ into the quantized algebra of regular functions on the corresponding cluster variety.



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