A homogeneous superspace relevant to superconformal field theory

An infinite-dimensional homogeneous superspace, determined by the choice of annihilation operators in a superconformal field theory, is introduced. Regularization of the field theory induces a central extension for the group which acts transitively on the space, and the cocycle for the central extension is computed. The vacuum states for the theory form a line bundle over the homogeneous superspace, and the curvature of the line bundle is calculated.