On the Geometric Interpretation of N = 2 Superconformal Theories
arXiv:hep-th/9409110 · doi:10.1016/0550-3213(94)00571-U
Abstract
We clarify certain important issues relevant for the geometric interpretation of a large class of N = 2 superconformal theories. By fully exploiting the phase structure of these theories (discovered in earlier works) we are able to clearly identify their geometric content. One application is to present a simple and natural resolution to the question of what constitutes the mirror of a rigid Calabi-Yau manifold. We also discuss some other models with unusual phase diagrams that highlight some subtle features regarding the geometric content of conformal theories.
25 pages, note added
References in corpus (11)
- Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
- Calabi-Yau Moduli Space, Mirror Manifolds and Spacetime Topology Change in String Theory
- Measuring Small Distances in N=2 Sigma Models
- Dual Cones and Mirror Symmetry for Generalized Calabi-Yau Manifolds
- Towards the Mirror Symmetry for Calabi-Yau Complete intersections in Gorenstein Toric Fano Varieties
- Supermanifolds, Rigid Manifolds and Mirror Symmetry
- Periods for Calabi--Yau and Landau--Ginzburg Vacua
- Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold
- The Monomial-Divisor Mirror Map
- Minimum Distances in Non-Trivial String Target Spaces
- Dimensionally Reduced Landau-Ginzburg Orbifolds with Discrete Torsion
Cited by in corpus (37)
- Orbifold Resolution by D-Branes
- On the Ubiquity of K3 Fibrations in String Duality
- Towards Mirror Symmetry as Duality for Two-Dimensional Abelian Gauge Theories
- Mirror Symmetries for Brane Configurations and Branes at Singularities
- An N=2 Dual Pair and a Phase Transition
- D-Brane Topology Changing Transitions
- New Methods for Characterizing Phases of 2D Supersymmetric Gauge Theories
- Instantons in the Double-Tensor Multiplet
- Resolving Singularities in (0,2) Models
- Massless D-Branes on Calabi-Yau Threefolds and Monodromy
- Small Volumes in Compactified String Theory
- On D-branes from Gauged Linear Sigma Models
- Stable Singularities in String Theory
- Decompactifications and Massless D-Branes in Hybrid Models
- Instanton Solutions for the Universal Hypermultiplet
- Categories of Massless D-Branes and del Pezzo Surfaces
- Hybrid conformal field theories
- D-branes on Orbifolds and Topology Change
- Conifolds From D-branes
- Some Features of (0,2) Moduli Space
- Hyperkahler Singularities in Superstrings Compactification and 2d N=4 Conformal Field Theory
- Collapsing D-branes in one-parameter models and small/large radius duality
- The Breakdown of Topology at Small Scales
- (0,2) hybrid models
- Probing Geometry with Stability Conditions
- On Dimer Models and Closed String Theories
- A Ricci-flat metric on D-brane orbifolds
- Phases of mirror symmetry
- Reflexive polyhedra, weights and toric Calabi-Yau fibrations
- On Tachyons in Generic Orbifolds of $\BC^r$ and Gauged Linear Sigma Models
- On the Correspondence of Open and Closed Strings
- A rigid Calabi--Yau 3-fold
- A (0,2) mirror duality
- A Note on (0,2) Models on Calabi-Yau Complete Intersections
- On Phases of Generic Toric Singularities
- Topological Heterotic Rings
- On the Calabi-Yau Phase of (0,2) Models