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<p>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 <i>AdS</i><sub>2</sub>×<i>R</i><sup>3</sup>×<i>T</i> <sup>1,1</sup> throat in asymptotic <i>AdS</i><sub>5</sub> × <i>T</i> <sup>1,1</sup> geometry. We demonstrate here that this phase is dynamically unstable below some critical value of <i>T</i><sub><i>c</i></sub>/<i>μ</i>: 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 <i>T</i><sub><i>c</i></sub>/<i>μ</i>, but extends to arbitrary high temperatures, and is characterized by an expectation value of a dimension-2 operator, <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26290_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi mathvariant="script">O</mi> <mn>2</mn> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {\mathcal{O}}_2 \)</EquationSource> </InlineEquation> ∝ <i>T</i> <sup>2</sup>, in the limit <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26290_Article_IEq2.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mfrac> <mi>μ</mi> <mi>T</mi> </mfrac> </math></EquationSource> <EquationSource Format="TEX">\( \frac{\mu }{T} \)</EquationSource> </InlineEquation> → 0.</p>

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Instability of baryonic black branes

  • 期刊论文

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  • 发表日期：

    2025年5月27日

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  • Alex Buchel

摘要

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 AdS2×R3×T 1,1 throat in asymptotic AdS5 × T 1,1 geometry. We demonstrate here that this phase is dynamically unstable below some critical value of Tc/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 Tc/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.