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

TL;DR

This paper introduces a new coordinate system for q-deformed AdS_5 x S^5, based on classical string solutions, revealing that the holographic relation is confined within a singularity surface and enabling analysis of minimal surfaces.

Contribution

The authors propose a novel coordinate system for q-deformed AdS_5 x S^5 that accurately describes the spacetime inside the singularity surface and facilitate the study of classical string solutions.

Findings

String solutions are confined within the singularity surface.

The new coordinate system effectively describes the spacetime inside the singularity.

Derived a deformed Neumann-Rosochatius system for minimal surfaces.

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.