Bethe Ansatz for a Quantum Supercoset Sigma Model

Details Bethe Ansatz for a Quantum Supercoset Sigma Model Bethe Ansatz for a Quantum Supercoset Sigma Model

2005-08-30

arxiv.org/abs/hep-th/0508232v2

Phys.Rev.D72:086002,2005

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 1 figure, v2: references added

Scientific paper

10.1103/PhysRevD.72.086002

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.

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