Spectral Flow construction of N = 2 superconformal orbifolds

In this talk I present a new approach to constructing Calabi-Yau orbifolds required for Compactification in Superstring theory. We use the connection of CY orbifolds with the class of exactly solvable N=2 SCFT minimal models to explicitly construct a complete set of fields in these orbifold models using the twisting of the spectral flow and the requirement of mutual locality of the fields. The talk is based on a joint work with V. Belavin and S. Parkhomenko.