Kavli Affiliate: Hiraku Nakajima
| Summary:
Consider the $3$-dimensional $mathcal N=4$ supersymmetric gauge theory associated with a compact Lie group $G_c$ and its quaternionic representation $mathbf M$. Physicists study its Coulomb branch, which is a noncompact hyper-Kähler manifold with an $mathrmSU(2)$-action, possibly with singularities. We give a mathematical definition of the Coulomb branch as an affine algebraic variety with $mathbb C^times$-action when $mathbf M$ is of a form $mathbf Noplusmathbf N^*$, as the second step of the proposal given in arXiv:1503.03676.
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