Mirror Symmetry and Structure of Singularities

Abstract

We study N=2 supersymmetric SU(2)/U(1) and SL(2,R)/U(1) gauged Wess-Zumino-Witten models. It is shown that axial-vector duality is equivalent to mirror duality. In the SL(2,R)/U(1) model, this means that a background with a singularity is a mirror partner of a background without a singularity. Implications of this fact to space-time singularities are discussed. We also discuss SU(2)×SU(2)/U(1)^2 model, which is related to a four-dimensional cosmological background.