TL;DR
This paper investigates the stability of giant graviton probes in a three-parameter deformed AdS_5 x S^5 background, including Lunin-Maldacena deformation, revealing their stability through fluctuation analysis.
Contribution
It provides a detailed stability analysis of giant gravitons in deformed backgrounds, extending understanding to non-supersymmetric deformations.
Findings
Giant gravitons remain stable in deformed backgrounds.
Stability persists even in the supersymmetric Lunin-Maldacena case.
Configurations are stable under small fluctuations.
Abstract
We study giant graviton probes in the framework of the three--parameter deformation of the AdS_5 x S^5 background. We examine both the case when the brane expands in the deformed part of the geometry and the case when it blows up into AdS. Performing a detailed analysis of small fluctuations around the giants, the configurations turn out to be stable. Our results hold even for the supersymmetric Lunin-Maldacena deformation.
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