Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3

Details Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3 Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3

2010-02-15

arxiv.org/abs/1002.2941v3

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 4 figures, v2: a figure and references added, minor corrections, v3: references added, minor corrections, to appear

Scientific paper

We study classical open string solutions with a null polygonal boundary in AdS_3 in relation to gluon scattering amplitudes in N=4 super Yang-Mills at strong coupling. We derive in full detail the set of integral equations governing the decagonal and the dodecagonal solutions and identify them with the thermodynamic Bethe ansatz equations of the homogeneous sine-Gordon models. By evaluating the free energy in the conformal limit we compute the central charges, from which we observe general correspondence between the polygonal solutions in AdS_n and generalized parafermions.

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