Diagrams for symmetric product orbifolds

2009/05/31 by Ari Pakman, Leonardo Rastelli, Shlomo S. Razamat +1 · 156 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal map #Diagram #Diagrammatic reasoning #Field (mathematics) #Homotopy and Cohomology in Algebraic Topology #Limit (mathematics) #Orbifold #Product (mathematics) #Twist #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/10/034

published in Journal of High Energy Physics 2009(10), 034 (Springer Nature) · 43 pages, 19 figures, v2: references added

openalex publication_date 2009/10/13 · arxiv created 2009/10/21 · arxiv updated 2010/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We develop a diagrammatic language for symmetric product orbifolds of two-dimensional conformal field theories. Correlation functions of twist operators are written as sums of diagrams: each diagram corresponds to a branched covering map from a surface where the fields are single-valued to the base sphere where twist operators are inserted. This diagrammatic language facilitates the study of the large N limit and makes more transparent the analogy between symmetric product orbifolds and free non-abelian gauge theories. We give a general algorithm to calculate the leading large N contribution to four-point correlators of twist fields.

Citations

• Virasoro amplitude from theS N R24-orbifold sigma model
• Four graviton scattering amplitude from S supersymmetric orbifold sigma model
• Twists and Wilson loops in the string theory of two-dimensional QCD
• On a worldsheet dual of the Gaussian matrix model
• Proving the PP-Wave/CFT2Duality
• Two-dimensional QCD is a string theory
• String interactions from Matrix string theory
• A planar diagram theory for strong interactions
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Six-dimensional supergravity on S3 × AdS3 and 2d conformal field theory
• Elliptic Genera of Symmetric Products and Second Quantized Strings
• Matching of correlators in AdS3/CFT2
• The Large-N Limit of Superconformal Field Theories and Supergravity
• Permutation branes
• Instanton strings and hyper-Kähler geometry
• Two-dimensional QCD as a string theory
• The large N limit of superconformal field theories and supergravity

Cited by

• Symmetric orbifold OPE from string theory
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• A spin chain for the symmetric product CFT2
• Operator mixing for string states in the D1-D5 CFT near the orbifold point
• Twist-nontwist correlators inMN/SNorbifold CFTs
• Holographic duality from Howe duality: Chern-Simons gravity as an ensemble of code CFTs