A mathematical definition of Coulomb branches of supersymmetric gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras
Hiraku Nakajima
TL;DR
This paper introduces a mathematical framework for Coulomb branches in 3d N=4 supersymmetric gauge theories and explores geometric Satake correspondences for Kac-Moody Lie algebras.
Contribution
It provides a rigorous mathematical definition of Coulomb branches and connects them to geometric Satake correspondences for Kac-Moody Lie algebras.
Findings
Defines Coulomb branches mathematically for 3d N=4 SUSY gauge theories.
Establishes geometric Satake correspondences in the context of Kac-Moody Lie algebras.
Lays groundwork for further mathematical and physical exploration of gauge theories.
Abstract
This is an introductory article for a mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras based on Coulomb branches.
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