Cotangent bundle over all the compact Hermitian symmetric spaces and projective superspace

Abstract

We construct the N = 2 supersymmetric nonlinear sigma model on the cotangent bundle over the compact Hermitian symmetric space E7/E6 × U(1) by using the projective superspace formalism which is an off-shell superfield formulation in four-dimensional space-time. We also give a simple formula giving the hyper-Kahler potential of the cotangent bundle over all the compact Hermitian symmetric spaces.