Asymptotic Bethe ansatz from string sigma model on S3×R

2006/05/31 by Nikolay Gromov, Vladimir Kazakov · 44 citations
Physics and Astronomy · #Ansatz #Bethe ansatz #Black Holes and Theoretical Physics #Integrable system #Mathematical physics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Sigma #Sigma model #Spin (aerodynamics) #String (physics) #String theory #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2007.03.025

published in Nuclear Physics B 780(3), 143-160 (Elsevier BV) · 16 pages

arxiv created 2006/08/05 · openalex publication_date 2007/04/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We derive the asymptotic Bethe ansatz (AFS equations) for the string on S³ x R sector of AdS₅ x S⁵ from the integrable nonhomogeneous dynamical spin chain for the string sigma model proposed in GKSV. It is clear from the derivation that AFS equations can be viewed only as an effective model describing a certain regime of a more fundamental inhomogeneous spin chain.

Citations

• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• On AdS5×S5 string S-matrix
• A Novel Long Range Spin Chain and PlanarN=4 Super Yang-Mills
• A universality test of the quantum string Bethe ansatz
• Algebraic Curve for the SO(6) Sector of AdS/CFT
• Bethe ansatz for a quantum supercoset sigma model
• Spin chain for quantum strings
• TheAdS5×S5superstring worldsheetSmatrix and crossing symmetry

Cited by

• Integrability and the AdS 3/CFT 2 correspondence