Instability of Baryonic Black Branes

Fuente: arXiv
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Autore principale: Buchel, Alex
Natura: Preprint
Pubblicazione: 2025
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author Buchel, Alex
author_facet Buchel, Alex
contents 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 $AdS_2\times R^3\times T^{1,1}$ throat in asymptotic $AdS_5\times T^{1,1}$ 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, ${\cal O}_2\propto T^2$, in the limit $\frac μT\to 0$.
format Preprint
id arxiv_https___arxiv_org_abs_2502_05971
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Instability of Baryonic Black Branes
Buchel, Alex
High Energy Physics - Theory
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 $AdS_2\times R^3\times T^{1,1}$ throat in asymptotic $AdS_5\times T^{1,1}$ 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, ${\cal O}_2\propto T^2$, in the limit $\frac μT\to 0$.
title Instability of Baryonic Black Branes
topic High Energy Physics - Theory
url https://arxiv.org/abs/2502.05971