Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R

Abstract

We derive the asymptotic Bethe ansatz (AFS equations) for the string on S^3 x R sector of AdS_5 x S^5 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.

16 pages

References in corpus (7)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Quantum corrections to the string Bethe ansatz
• On AdS_5 x S^5 String S-matrix
• A Universality Test of the Quantum String Bethe Ansatz
• Exact expressions for quantum corrections to spinning strings
• Strings as Multi-Particle States of Quantum Sigma-Models

Cited by in corpus (15)

• Finite-size Effects from Giant Magnons
• The all loop AdS4/CFT3 Bethe ansatz
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Wrapping interactions at strong coupling -- the giant magnon
• The S-matrix of String Bound States
• Gauge invariant finite size spectrum of the giant magnon
• Strong coupling limit of Bethe Ansatz equations
• Quantum Wrapped Giant Magnon
• Constructing the AdS/CFT dressing factor
• Minimal solution of the AdS/CFT crossing equation
• On the origin of the dressing phase in N=4 Super Yang-Mills
• A Spin Chain from String Theory
• The S-matrix of the Faddeev-Reshetikhin Model, Diagonalizability and PT Symmetry
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge
• Microscopic formulation of the S-matrix in AdS/CFT