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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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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author Alex Buchel
author_facet Alex Buchel
author_sort Alex Buchel
collection DOAJ
description 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.
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publishDate 2025-05-01
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spelling doaj-art-a9e6d06e3309437e8aeeafc4db6e9d222025-08-20T03:10:28ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025512510.1007/JHEP05(2025)215Instability of baryonic black branesAlex Buchel0Department of Physics and Astronomy, University of Western OntarioAbstract 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.https://doi.org/10.1007/JHEP05(2025)215AdS-CFT CorrespondenceGauge-Gravity CorrespondenceHolography and Hydrodynamics
spellingShingle Alex Buchel
Instability of baryonic black branes
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-Gravity Correspondence
Holography and Hydrodynamics
title Instability of baryonic black branes
title_full Instability of baryonic black branes
title_fullStr Instability of baryonic black branes
title_full_unstemmed Instability of baryonic black branes
title_short Instability of baryonic black branes
title_sort instability of baryonic black branes
topic AdS-CFT Correspondence
Gauge-Gravity Correspondence
Holography and Hydrodynamics
url https://doi.org/10.1007/JHEP05(2025)215
work_keys_str_mv AT alexbuchel instabilityofbaryonicblackbranes