Generalized quark-antiquark potentials from a $q$-deformed AdS$_5 \times $S$^5$ background
Abstract
We study minimal surfaces with a single cusp in a -deformed AdSS background. The cusp is composed of two half-lines with an arbitrary angle and is realized on a surface specified in the deformed AdS. The classical string solutions attached to this cusp are regarded as a generalization of configurations studied by Drukker and Forini in the undeformed case. By taking an antiparallel-lines limit, a quark-antiquark potential for the -deformed case is derived with a certain subtraction scheme. The resulting potential becomes linear at short distances with a finite deformation parameter. In particular, the linear behavior for the gravity dual of noncommutative gauge theories can be reproduced as a special scaling limit. Finally we study the near straight-line limit of the potential.
Keywords
Cite
@article{arxiv.1602.06786,
title = {Generalized quark-antiquark potentials from a $q$-deformed AdS$_5 \times $S$^5$ background},
author = {Takashi Kameyama and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:1602.06786},
year = {2016}
}
Comments
34 pages, no figure, LaTeX; v3: references added and minor changes