• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site

Working paper

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

Braverman A., Finkelberg M. V., 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 [Nak15].