Generalized quark-antiquark potentials from a -deformed AdSS background
arXiv:1602.06786 · doi:10.1093/ptep/ptw059
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.
34 pages, no figure, LaTeX; v3: references added and minor changes
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