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Thermodynamic Bethe ansatz equations for minimal surfaces in AdS 3

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Abstract

We study classical open string solutions with a null polygonal boundary in AdS 3 in relation to gluon scattering amplitudes in \( \mathcal{N} = 4 \) 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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Authors and Affiliations

  1. Theoretical Physics Laboratory, RIKEN, Saitama, 351-0198, Japan

    Yasuyuki Hatsuda

  2. Department of Physics, Tokyo Institute of Technology, Tokyo, 152-8551, Japan

    Katsushi Ito

  3. Research and Education Center for Natural Sciences, Keio University, Yokohama, 223-8521, Japan

    Kazuhiro Sakai

  4. Hiyoshi Department of Physics, Keio University, Yokohama, 223-8521, Japan

    Kazuhiro Sakai

  5. Institute of Physics, University of Tsukuba, Ibaraki, 305-8571, Japan

    Yuji Satoh

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  1. Yasuyuki Hatsuda
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  2. Katsushi Ito
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  3. Kazuhiro Sakai
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  4. Yuji Satoh
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Correspondence to Kazuhiro Sakai.

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ArXiv ePrint: 1002.2941

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Hatsuda, Y., Ito, K., Sakai, K. et al. Thermodynamic Bethe ansatz equations for minimal surfaces in AdS 3 . J. High Energ. Phys. 2010, 108 (2010). https://doi.org/10.1007/JHEP04(2010)108

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