Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
High Energy Physics - Theory
2014-11-20 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1002.2941,
title = {Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3},
author = {Yasuyuki Hatsuda and Katsushi Ito and Kazuhiro Sakai and Yuji Satoh},
journal= {arXiv preprint arXiv:1002.2941},
year = {2014}
}
Comments
25 pages, 4 figures, v2: a figure and references added, minor corrections, v3: references added, minor corrections, to appear in JHEP