The Moduli Space of N = 2 Superconformal Field Theories

Abstract

We review the structure of the moduli space of particular N = (2,2) superconformal field theories. We restrict attention to those of particular use in superstring compactification, namely those with central charge c = 3d for some integer d and whose NS fields have integer U(1) charge. The cases d = 1, 2 and 3 are analyzed. It is shown that in the case d >= 3 it is important to use techniques of algebraic geometry rather than rely on metric-based ideas. The phase structure of these moduli spaces is discussed in some detail. (Lectures Delivered at Trieste Summer School, 1994.)

arXiv commentLaTeX, 53 pages, 7 figures

References in corpus (9)

• Phases of $N=2$ Theories In Two Dimensions
• Applied Conformal Field Theory
• Mirror Manifolds And Topological Field Theory
• Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces
• Mirror Symmetry for Two Parameter Models -- II
• Topological Field Theory and Rational Curves
• Measuring Small Distances in N=2 Sigma Models
• Towards the Mirror Symmetry for Calabi-Yau Complete intersections in Gorenstein Toric Fano Varieties
• Picard-Fuchs equations and mirror maps for hypersurfaces

Cited by in corpus (10)

• String Theory on Calabi-Yau Manifolds
• Phase transitions, double-scaling limit, and topological strings
• U-Duality and Integral Structures
• Superconformal Field Theories for Compact G_2 Manifolds
• Comments on Orientifolds without Vector Structure
• Lectures on Mirror Symmetry and Topological String Theory
• Analytic Periods via Twisted Symmetric Squares
• On the Correspondence of Open and Closed Strings
• A Supermembrane Description of String-String Duality
• Heterotic Type I Strings at High Temperature