A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions

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.

arXiv comment42 pages, no figure, LaTeX, typos corrected, further clarifications added

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• Supergravity backgrounds for deformations of AdS_n x S^n supercoset string models
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• $I$ in generalized supergravity
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• Deformations of the Almheiri-Polchinski model
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
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• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
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