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Coulomb branches of 3d N = 4 quiver gauge theories and slices in the affine Grassmannian

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Abstract

This is a companion paper of [Part II]. We study Coulomb branches of unframed and framed quiver gauge theories of type ADE. In the unframed case they are isomorphic to the moduli space of based rational maps from P1 to the flag variety. In the framed case they are slices in the affine Grassmannian and their generalization. In the appendix, written jointly with Joel Kamnitzer, Ryosuke Kodera, BenWebster, and AlexWeekes, we identify the quantized Coulomb branch with the truncated shifted Yangian.

Original languageEnglish
Pages (from-to)75-166
Number of pages92
JournalAdvances in Theoretical and Mathematical Physics
Volume23
Issue number1
DOIs
StatePublished - 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019 International Press of Boston, Inc.

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