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arXiv · 1211.6225

Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models

Yasuyuki Hatsuda·Katsushi Ito·Yuji Satoh
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Abstract

We study the null-polygonal minimal surfaces in AdS_4, which correspond to the gluon scattering amplitudes/Wilson loops in N=4 super Yang-Mills theory at strong coupling. The area of the minimal surfaces with n cusps is characterized by the thermodynamic Bethe ansatz (TBA) integral equations or the Y-system of the homogeneous sine-Gordon model, which is regarded as the SU(n-4)_4/U(1)^{n-5} generalized parafermion theory perturbed by the weight-zero adjoint operators. Based on the relation to the TBA systems of the perturbed W minimal models, we solve the TBA equations by using the conformal perturbation theory, and obtain the analytic expansion of the remainder function around the UV/regular-polygonal limit for n=6 and 7. We compare the rescaled remainder function for n=6 with the two-loop one, to observe that they are close to each other similarly to the AdS_3 case.

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Yasuyuki Hatsuda, Katsushi Ito, Yuji Satoh. 2013-02-20. Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models. https://doi.org/10.1007/jhep02(2013)067

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