A Spin Chain from String Theory

Abstract

We study the semiclassical spectrum of bosonic string theory on AdS_3 x S^1 in the limit of large AdS angular momentum. At leading semiclassical order, this is a subsector of the IIB superstring on AdS_5 x S^5. The theory includes strings with K spikes which approach the boundary in this limit. We show that, for all K, the spectrum of these strings exactly matches that of the corresponding operators in the dual gauge theory up to a single universal prefactor which can be identified with the cusp anomalous dimension. We propose a precise map between the dynamics of the spikes and the classical SL(2,R) spin chain which arises in the large-spin limit of N=4 Super Yang-Mills theory.

37 Pages, 8 figures

References in corpus (24)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• Gluon scattering amplitudes at strong coupling
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Transcendentality and Crossing
• The N=4 SYM Integrable Super Spin Chain
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Giant Magnons
• Spin chains and string theory
• Structure functions for large $x$ and renormalization of Wilson loops
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• Gauge/string duality for QCD conformal operators
• Logarithmic scaling in gauge/string correspondence
• Integrability in QCD and beyond
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• N=1 and N=2 Geometry from Fluxes
• Generating AdS String Solutions
• On the Dynamics of Finite-Gap Solutions in Classical String Theory
• A Symplectic Structure for String Theory on Integrable Backgrounds
• Solitons and AdS String Solutions
• Strings as Multi-Particle States of Quantum Sigma-Models
• Spiky strings, light-like Wilson loops and pp-wave anomaly
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• Solitons in high-energy QCD
• A large spin limit of strings on AdS_5 x S^5 in a non-compact sector

Cited by in corpus (8)

• Exciting the GKP string at any coupling
• Moduli Dynamics of AdS_3 Strings
• The Holographic Fishchain
• Spiky Strings and Spin Chains
• Spiky strings in the SL(2) Bethe Ansatz
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
• Series Solution and Minimal Surfaces in AdS
• Spiky Strings with Two Spins in AdS5