Stability of Randall-Sundrum brane-world and tachyonic scalar
Kazuo Ghoroku, Akihiro Nakamura

TL;DR
This paper investigates the stability of the Randall-Sundrum brane-world with a focus on tachyonic scalar fields in the bulk AdS space, revealing potential instabilities and discussing their resolution via AdS/CFT correspondence.
Contribution
It identifies the destabilizing effect of tachyonic scalars in the bulk on the brane-world and explores their resolution through holographic duality.
Findings
Tachyonic scalars can destabilize the brane-world.
AdS/CFT correspondence offers a potential resolution.
Zero cosmological constant brane-worlds are sensitive to bulk instabilities.
Abstract
We address the behaviour of the scalar field with negative mass squared in the five dimensional AdS space where the Randall-Sundrum brane-world is embedded. We point out that the tachyonic scalar allowed in the bulk space destabilizes the embedded brane-world where the cosmological constant is zero. The resolution of this instability is discussed from the viewpoint of AdS/CFT correspondence.
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