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Article

Towards a mathematical definition of Coulomb branches of 3-dimensional N = 4 gauge theories, II

Advances in Theoretical and Mathematical Physics. 2018. Vol. 22. No. 5. P. 1071-1147.
Braverman A., Michael Finkelberg, Nakajima H.

Consider the 3-dimensional N = 4 supersymmetric gauge theory associated with a compact Lie group Gc and its quaternionic representation M. Physicists study its Coulomb branch, which is a noncompact hyper-K¨ahler manifold with an SU(2)-action, possibly with singularities. We give a mathematical definition of the Coulomb branch as an affine algebraic variety with C×-action when M is of a form N ⊕ N∗, as the second step of the proposal given in [Nak16].