Perturbative Solution to D-terms in N=2 Models and Metrics
  N=2 gauged non-linear sigma models are examined classically and their D-terms are solved. The variation of the classical Lagrangian in order to solve for the auxiliary fields is identical to integrating these modes functionally. The latter is performed for the general quotient. The D-term solution is equivalent to solving a coupled set of algebraic equations. 
Gordon Chalmers