Papers

Feb, 2013

Null-polygonal minimal surfaces in AdS(4) from perturbed W minimal models

JOURNAL OF HIGH ENERGY PHYSICS
  • Yasuyuki Hatsuda
  • ,
  • Katsushi Ito
  • ,
  • Yuji Satoh

Volume
Number
2
Language
English
Publishing type
Research paper (scientific journal)
DOI
10.1007/JHEP02(2013)067
Publisher
SPRINGER

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 it cusps is characterized by the thermodynamic Bottle 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.

Link information
DOI
https://doi.org/10.1007/JHEP02(2013)067
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000316272900067&DestApp=WOS_CPL
ID information
  • DOI : 10.1007/JHEP02(2013)067
  • ISSN : 1029-8479
  • Web of Science ID : WOS:000316272900067

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