2016/02/29 by Takashi Kameyama, Kentaroh Yoshida
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cusp (singularity) #Energy (signal processing) #Generalization #Noncommutative and Quantum Gravity Theories #String (physics) #Surface (topology) #hep-th #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1093/ptep/ptw059
34 pages, no figure, LaTeX; v3: references added and minor changes
arxiv created 2016/05/01 · openalex publication_date 2016/06/01 · arxiv updated 2016/06/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study minimal surfaces with a single cusp in a |q|-deformed |\hbox AdS5 × \hbox S5| background. The cusp is composed of two half-lines with an arbitrary angle and is realized on a surface specified in the deformed |\hbox AdS5|. The classical string solutions attached to this cusp are regarded as a generalization of configurations studied by Drukker and Forini [J. High Energy Phys. 1106, 131 (2011) [arXiv:1105.5144 [hep-th]]] in the undeformed case. By taking an antiparallel-lines limit, a quark–antiquark potential for the |q|-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.