Axial-Vector Duality as a Mirror Symmetry

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 the vector gauged model is transformed to the axial gauged model by a mirror transformation. Therefore the vector gauged model and the axial gauged model are equivalent as $N=(2,2)$ superconformal field theories. In the $SL(2,R)/U(1)$ model, it is known that axial-vector duality relates a background with a singularity to that without a singularity. Implications of the equivalence of these two models to space-time singularities are discussed.

12 pages, LaTeX, KUNS 1290

References in corpus (10)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Phases of $N=2$ Theories In Two Dimensions
• Target Space Duality in String Theory
• Exact Three Dimensional Black Holes in String Theory
• Calabi-Yau Moduli Space, Mirror Manifolds and Spacetime Topology Change in String Theory
• Multiple Mirror Manifolds and Topology Change in String Theory
• Topological Field Theories and Space-Time Singularity
• Mirror Symmetry as a Gauge Symmetry
• Mirror symmetry for the Kazama-Suzuki models

Cited by in corpus (1)

• A Twisted Non-compact Elliptic Genus