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.

42 pages, no figure, LaTeX, typos corrected, further clarifications added

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Cited by in corpus (15)

• Abelian Yang-Baxter Deformations and TsT transformations
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• Double Wick rotating Green-Schwarz strings
• On classical Yang-Baxter based deformations of the AdS_5 x S^5 superstring
• $I$ in generalized supergravity
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• Spinning strings in the $\eta$-deformed Neumann-Rosochatius system
• Integrability of the eta-deformed Neumann-Rosochatius model
• Spiky strings in $\varkappa$-deformed $AdS$
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Isometry Group Orbit Quantization of Spinning Strings in AdS_3 x S^3
• Probing $\eta$ deformed backgrounds with $Dp$ branes
• Yang-Baxter deformations and string dualities