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

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Cited by in corpus (34)

• Transcendentality and Crossing
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Finite-size Effects from Giant Magnons
• Integrability and the AdS(3)/CFT(2) correspondence
• 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
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• Quantum Wrapped Giant Magnon
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• Quantum Giant Magnons
• From nesting to dressing
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