Resolution of Orbifold Singularities in String Theory

Abstract

In this paper the relationship between the classical description of the resolution of quotient singularities and the string picture is reviewed in the context of N=(2,2) superconformal field theories. A method for the analysis of quotients locally of the form C^d/G where G is abelian is presented. Methods derived from mirror symmetry are used to study the moduli space of the blowing-up process. The case C^2/Z_n is analyzed explicitly. This is largely a review paper to appear in "Essays on Mirror Manifolds, II".

25 pages, IASSNS-HEP-94/9

References in corpus (6)

• Phases of $N=2$ Theories In Two Dimensions
• 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
• Topological Orbifold Models and Quantum Cohomology Rings

Cited by in corpus (36)

• Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
• Aspects of Type IIB Theory on ALE Spaces
• Toric Duality as Seiberg Duality and Brane Diamonds
• Fractional Branes and Boundary States in Orbifold Theories
• Phase Structure of D-brane Gauge Theories and Toric Duality
• D-branes and Discrete Torsion II
• Symmetries of Toric Duality
• Localized Tachyons and RG Flows
• String compactifications on Calabi-Yau stacks
• The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1)
• Tackling the SDC in AdS with CFTs
• The Orbifolder: A Tool to study the Low Energy Effective Theory of Heterotic Orbifolds
• Heterotic Z6-II MSSM Orbifolds in Blowup
• Collapsing D-Branes in Calabi-Yau Moduli Space: I
• Large $N$ correlation functions in $\mathcal{N}=2$ superconformal quivers
• On Correspondences Between Toric Singularities and (p,q)-webs
• Open Strings in Exactly Solvable Model of Curved Spacetime and PP-Wave Limit
• Discrete Torsion and Gerbes II
• The Cheshire Cap
• Heterotic orbifold resolutions as (2,0) gauged linear sigma models
• D-branes, Discrete Torsion and the McKay Correspondence
• String Orbifolds and Quotient Stacks
• Brane Probes, Toric Geometry, and Closed String Tachyons
• A perfect match of MSSM-like orbifold and resolution models via anomalies
• String Creation and Monodromy from Fractional D-branes on ALE spaces
• On Localized Tachyon Condensation in $\BC^2/\BZ_n$ and $\BC^3/\BZ_n$
• On Algebraic Singularities, Finite Graphs and D-Brane Gauge Theories: A String Theoretic Perspective
• Three-form periods on Calabi-Yau fourfolds: Toric hypersurfaces and F-theory applications
• Moduli Stabilization in Toroidal Type IIB Orientifolds
• Free-Field Approach to D-Branes in Gepner Models
• On nonsupersymmetric $\BC^4/\BZ_N$, tachyons, terminal singularities and flips
• On the Critical Behavior of D1-brane Theories
• Local Grand Unification in the Heterotic Landscape
• Quotient Stacks and String Orbifolds
• Heterotic Stringy Corrections to Metrics of Toroidal Orbifolds and Their Resolutions
• Euclidean Time Formulation for the Superstring Ensembles: Perturbative Canonical Ensemble with Neveu-Schwarz B Field Backgrounds