Orbifold Constructions of K3: A Link between Conformal Field Theory and Geometry

Abstract

We discuss geometric aspects of orbifold conformal field theories in the moduli space of N=(4,4) superconformal field theories with central charge c=6. Part of this note consists of a summary of our earlier results on the location of these theories within the moduli space [NW01,Wen] and the action of a specific version of mirror symmetry on them [NW]. We argue that these results allow for a direct translation from geometric to conformal field theoretic data. Additionally, this work contains a detailed discussion of an example which allows the application of various versions of mirror symmetry on K3. We show that all of them agree in that point of the moduli space.