Semiclassical Bethe ansatz and AdS/CFT

2004/11/30 by Konstantin Zarembo, K. Zarembo · 83 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bethe ansatz #Black Holes and Theoretical Physics #Combinatorics #Integrable system #Mathematical physics #Mathematics #Parameterized complexity #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Semiclassical physics #Sigma #Type (biology) #hep-th

paper · pdf · doi:10.1002/prop.200410233

published in Fortschritte der Physik 53(5-6), 647-657 (Wiley) · 13 pages, Based on talks at Strings04, Paris, 28.06-02.07; 37th Symposium Ahrenshoop, Berlin, 23.08-27.08 and Integrable Models and Applications, Sozopol, 31.08-04.09; v2: misprints in (38) and (61) corrected; v3: misprints in (3) and (11) corrected; v4: misprint in (20) corrected

openalex publication_date 2005/04/27 · arxiv created 2007/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Abstract The Bethe ansatz can be used to compute anomalous dimensions in 𝒩 = 4 SYM theory. The classical solutions of the sigma‐model on AdS 5 × S 5 can also be parameterized by an integral equation of Bethe type. The relationship between the two Bethe ansätze is reviewed.

Citations

• The circular, elliptic three-spin string from the SU(3) spin chain
• A Novel Long Range Spin Chain and PlanarN=4 Super Yang-Mills
• Spinning pulsating string solitons inAdS5×S5
• Higher-loop integrability in N = 4 gauge theory
• Quantum inverse problem method. I
• Aspects of semiclassical strings in AdS5
• Integrable Hamiltonian for Classical Strings on AdS5 × S5
• Slow evolution of nearly-degenerate extremal surfaces
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Algebraic Curve for the SO(6) Sector of AdS/CFT
• Circular semiclassical string solutions on AdS5×S5
• Quantal phase factors accompanying adiabatic changes
• Bloch Walls and Macroscopic String States in Bethe's Solution of the Heisenberg Ferromagnetic Linear Chain
• The large N limit of superconformal field theories and supergravity

Cited by

• Bethe ansatz for a quantum supercoset sigma model
• On S-matrix factorization of the Landau-Lifshitz model
• Magnons, their solitonic avatars and the Pohlmeyer reduction