Bethe Ansatz for a Quantum Supercoset Sigma Model

Abstract

We study an integrable conformal OSp(2m + 2|2m) supercoset model as an analog to the AdS_5 X S^5 superstring world-sheet theory. Using the known S-matrix for this system, we obtain integral equations for states of large particle density in an SU(2) sector, which are exact in the sigma model coupling constant. As a check, we derive as a limit the general classical Bethe equation of Kazakov, Marshakov, Minahan, and Zarembo. There are two distinct quantum expansions around the well-studied classical limit, the lambda^{-1/2} effects and the 1/J effects. Our approach captures the first type, but not the second.

30 pages, 1 figure, v2: references added

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• Dyonic Giant Magnons
• Worldsheet Scattering in AdS_5 x S^5
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• A Universality Test of the Quantum String Bethe Ansatz
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• Bethe Ansatz in Stringy Sigma Models
• Dressing the Giant Magnon II
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• Quantum Integrability for Three-Point Functions
• Constructing the AdS/CFT dressing factor
• Strings as Multi-Particle States of Quantum Sigma-Models
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• Quantum integrability and functional equations
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• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
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• Boundary Spectra in Superspace Sigma-Models
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• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Antiferromagnetic Operators in N=4 Supersymmetric Yang-Mills Theory
• On the Scattering Phase for AdS_5 x S^5 Strings
• Asymptotic Bethe Ansatz S-matrix and Landau-Lifshitz type effective 2-d actions
• A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part I: Algebraic structures in the spin chain. The Brauer algebra
• On the Scattering of Magnon Boundstates
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• Open Spinning Strings and AdS/dCFT Duality
• A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part II: The boundary spectrum
• BPS Operators in N=4 SYM: Calogero Models and 2D Fermions
• Toy models for wrapping effects
• Nesting and Dressing
• Sugawara form for AdS superstring
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• Quantum Giant Magnons
• From nesting to dressing
• Strong coupling from the Hubbard model
• BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)
• Edge states and conformal boundary conditions in super spin chains and super sigma models
• Conserved Charges in the Principal Chiral Model on a Supergroup
• The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems
• Classical limit of Quantum Sigma-Models from Bethe Ansatz