A spin chain for the symmetric product CFT2

2009/12/07 by Ari Pakman, Leonardo Rastelli, Shlomo S. Razamat · 97 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Combinatorics #Geometry #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Orbifold #Physics #Product (mathematics) #Pure mathematics #Quantum mechanics #Sigma #Spin (aerodynamics) #Triple product #hep-th

paper · pdf · doi:10.1007/jhep05(2010)099

published in Journal of High Energy Physics 2010(5) (Springer Nature) · 52 pages, 10 figures

arxiv created 2009/12/07 · openalex publication_date 2010/05/01 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider "gauge invariant" operators in Sym^N T⁴, the symmetric product orbifold of N copies of the 2d supersymmetric sigma model with T⁴ target. We discuss a spin chain representation for single-cycle operators and study their two point functions at large N. We perform systematic calculations at the orbifold point ("tree level"), where non-trivial mixing is already present, and some sample calculations to first order in the blow-up mode of the orbifold ("one loop").

Citations

• More on superstrings inAdS3× Script N
• Virasoro amplitude from theS N R24-orbifold sigma model
• Four graviton scattering amplitude from S supersymmetric orbifold sigma model
• Invasion of the giant gravitons from anti-de Sitter space
• Diagrams for symmetric product orbifolds
• Proving the PP-Wave/CFT2Duality
• What is the gravity dual of a chiral primary?
• Giant magnons in the D1-D5 system
• Spectral flow in AdS3/CFT2
• String theory in magnetic monopole backgrounds
• AdS3 black holes and a stringy exclusion principle
• Six-dimensional supergravity on S3 × AdS3 and 2d conformal field theory
• Counting giant gravitons inAdS3
• The dilatation operator of N=4 super Yang–Mills theory and integrability
• Matching of correlators in AdS3/CFT2
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Instanton strings and hyper-Kähler geometry
• The large N limit of superconformal field theories and supergravity

Cited by

• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Operator mixing for string states in the D1-D5 CFT near the orbifold point
• Twist-nontwist correlators inMN/SNorbifold CFTs