7 Higgs branches and hyperkähler manifolds

So far we only considered the branch of the moduli space of the supersymmetric vacua where the scalar Φ in the vector multiplet is nonzero, and all the hypermultiplets are zero. Instead let us consider a branch where Φ = 0, but the hypermultiplet scalars are nonzero. This branch is called the Higgs branch.

 7.1 General structures of the Higgs branch Lagrangian
 7.2 Hypermultiplets revisited
 7.3 The hyperkähler quotient
  7.3.1 U(1) gauge theory with one charged hypermultiplet
  7.3.2 SU(2) gauge theory with two hypermultiplets in the doublet