Kaehler geometry of the space of N=2 superconformal field theories

The moduli space, M, of (0,2) superconformal field theories with integral U(1) charges is studied, adapting results from previous work on string theory and the Calabi-Yau moduli space. It is shown that M is Kaehler and that the Kaehler potential is the norm of the unique top weight right-chiral primary state. Furthermore, the operator which creates this state is shown to be a holomorphic section of a vector bundle on M. Some aspects of the duality transformation which flips the U(1) charge are discussed in this context. (orig.)