Highest Weight Generating functions for hyperKahler T*(G/H) spaces
  We develop an efficient procedure for counting holomorphic functions on a hyperKahler cone that has a resolution as a cotangent bundle of a homogeneous space by providing a formula for computing the corresponding Highest Weight Generating function. 
Amihay Hanany, Sanjaye Ramgoolam and Diego Rodriguez-Gomez
hep-th