Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models

2004/09/22 by Shijong Ryang · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/2004/10/059

published as JHEP0410:059,2004 · 16 pages, LaTeX, no figures

arxiv created 2004/09/22 · openalex publication_date 2004/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

From the SU(2) spin chain sigma model at the one-loop and two-loop orders we recover the classical circular string solution with two S⁵ spins (J₁, J₂) in the AdS₅ x S⁵ string theory. In the SL(2) sector of the one-loop spin chain sigma model we explicitly construct a solution which corresponds to the folded string solution with one AdS₅ spin S and one S⁵ spin J. In the one-loop general sigma model we demonstrate that there exists a solution which reproduces the energy of the circular constant-radii string solution with three spins (S₁, S₂, J).

Citations

• Deformations of N=4 SYM and integrable spin chain models
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory

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• One-loop QCD spin chain and its spectrum