Instability of baryonic black branes

Abstract Baryonic black branes describe the quantum critical phase of the conformal conifold gauge theory at strong coupling. This phase extends to zero temperature at a finite baryonic chemical potential, represented by extremal black branes with AdS 2×R 3×T 1,1 throat in asymptotic AdS 5 × T 1,1 g...

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Bibliographic Details
Main Author: Alex Buchel
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2025)215
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Summary:Abstract Baryonic black branes describe the quantum critical phase of the conformal conifold gauge theory at strong coupling. This phase extends to zero temperature at a finite baryonic chemical potential, represented by extremal black branes with AdS 2×R 3×T 1,1 throat in asymptotic AdS 5 × T 1,1 geometry. We demonstrate here that this phase is dynamically unstable below some critical value of T c /μ: the instability is represented by a diffusive mode in the hydrodynamic sound channel with a negative diffusion coefficient. We also identify a new (exotic) ordered phase of the conifold gauge theory: this phase originates at the same critical value of T c /μ, but extends to arbitrary high temperatures, and is characterized by an expectation value of a dimension-2 operator, O 2 $$ {\mathcal{O}}_2 $$ ∝ T 2, in the limit μ T $$ \frac{\mu }{T} $$ → 0.
ISSN:1029-8479