A Spin Chain for the Symmetric Product CFT_2

Abstract

We consider "gauge invariant" operators in Sym^N T^4, the symmetric product orbifold of N copies of the 2d supersymmetric sigma model with T^4 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").

52 pages, 10 figures

References in corpus (14)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Diagrams for Symmetric Product Orbifolds
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds
• Matching of correlators in AdS_3/CFT_2
• Emission from the D1D5 CFT
• Exact N=4 correlators of AdS(3)/CFT(2)
• Emission from the D1D5 CFT: Higher Twists
• Counting Giant Gravitons in AdS_3
• Asymptotic Symmetries of String Theory on AdS3 X S3 with Ramond-Ramond Fluxes

Cited by in corpus (60)

• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• Dressing phases of AdS3/CFT2
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux
• Towards integrability for AdS3/CFT2
• Deforming the D1D5 CFT away from the orbifold point
• S-matrix for magnons in the D1-D5 system
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Excitations in the deformed D1D5 CFT
• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• Effect of the deformation operator in the D1D5 CFT
• From Matrix Models and quantum fields to Hurwitz space and the absolute Galois group
• Operator mixing for string states in the D1-D5 CFT near the orbifold point
• Lifting of D1-D5-P states
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Effect of the twist operator in the D1D5 CFT
• Holographic 4-point correlators with heavy states
• Bogoliubov coefficients for the twist operator in the D1D5 CFT
• Evolution of entanglement entropy in the D1-D5 brane system
• Twist-nontwist correlators in M^N/S_N orbifold CFTs
• Macroscopic (and Microscopic) Massless Modes
• String Theory on Warped AdS_3 and Virasoro Resonances
• Lifting at higher levels in the D1D5 CFT
• Analyzing the squeezed state generated by a twist deformation
• Lifting 1/4-BPS States in $Ad{S}_3\times S^3\times T^4$
• On the spectrum of AdS3 x S3 x T4 strings with Ramond-Ramond flux
• Beyond the Tensionless Limit: Integrability in the Symmetric Orbifold
• Full action of two deformation operators in the D1D5 CFT
• Lifting of level-1 states in the D1D5 CFT
• Microstate Renormalization in Deformed D1-D5 SCFT
• Conformal Perturbation Theory for Twisted Fields
• Universal lifting in the D1-D5 CFT
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
• Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT${}_2$
• Lifting of states in 2-dimensional $N=4$ supersymmetric CFTs
• On the Dynamics of Protected Ramond Ground States in the D1-D5 CFT
• First-principles derivation of the AdS/CFT Y-systems
• One-Loop Transition Amplitudes in the D1D5 CFT
• D1 and D5-brane giant gravitons on $Ad{S}_3\times S^3\times S^3\times S^1$
• Renormalization of Twisted Ramond Fields in D1-D5 SCFT${}_2$
• Integrable strings for AdS/CFT
• Permutation Orbifolds in the large N Limit
• The large $N$ limit of OPEs in symmetric orbifold CFTs with $\mathcal{N}=(4,4)$ supersymmetry
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• Thermalization in the D1D5 CFT
• Fractional Conformal Descendants and Correlators in General 2D $S_N$ Orbifold CFTs at Large $N$
• Bosonization, cocycles, and the D1-D5 CFT on the covering surface
• Dynamical evolution in the D1D5 CFT
• On the massless modes of the AdS3/CFT2 integrable systems
• The Dual of a Tidal Force in the D1D5 CFT
• Larger Twists and Higher $n$-Point Functions with Fractional Conformal Descendants in $S_N$ Orbifold CFTs at Large $N$
• Integrability and the Conformal Field Theory of the Higgs branch
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Second order effect of twist deformation in the D1D5 CFT
• SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2
• Hexagonalization in $Ad{S}_3\times S^3\times T^4$: Mirror Corrections
• Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure