%0 Journal Article
%T Minimal surfaces in $q$-deformed AdS$_5\times$S$^5$ with Poincare coordinates
%A Takashi Kameyama
%A Kentaroh Yoshida
%J Physics
%D 2014
%I arXiv
%X We study minimal surfaces in $q$-deformed AdS$_5\times$S$^5$ with a new coordinate system introduced in the previous work 1408.2189. In this letter, we introduce Poincare coordinates for the deformed theory. Then we construct minimal surfaces whose boundary shape is a circle. The solution corresponds to a 1/2 BPS circular Wilson loop in the $q\to 1$ limit. A remarkable point is that the classical Euclidean action is not divergent unlike the original one. This finiteness indicates that the $q$-deformation may be regarded as a UV regularization.
%U http://arxiv.org/abs/1410.5544v4