A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
High Energy Physics - Theory
2015-06-22 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We study a GKP-like classical string solution on a q-deformed AdS_5 x S^5 background and argue the spacetime structure by using it as a probe. The solution cannot stretch beyond the singularity surface and this result may suggest that the holographic relation is realized inside the singularity surface. This observation leads us to introduce a new coordinate system which describes the spacetime only inside the singularity surface. With the new coordinate system, we study minimal surfaces and derive a deformed Neumann-Rosochatius system with a rigid string ansatz.
Keywords
Cite
@article{arxiv.1408.2189,
title = {A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions},
author = {Takashi Kameyama and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:1408.2189},
year = {2015}
}
Comments
42 pages, no figure, LaTeX, typos corrected, further clarifications added