Noncommutative AdS black hole and the IR holographic superconductor
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| Publicado en: | The European Physical Journal. C, Particles and Fields. vol. 85, no. 10 (Oct 2025), p. 1103 |
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| Autor principal: | |
| Otros Autores: | , , |
| Publicado: |
Springer Nature B.V.
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| Acceso en línea: | Citation/Abstract Full Text Full Text - PDF |
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| Resumen: | We construct a noncommutative (NC) AdS4<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="10052_2025_14642_Article_IEq1.gif" />-charged black hole with a planar horizon topology. The NC effects of this geometry are captured by a Gaussian distribution of black hole mass codified in a fluid-like energy–momentum tensor. A natural bound in radial coordinate is established, below which the scalar curvature changes its sign and defines a NC cutoff that embeds the point singularity. We study in detail the thermodynamic structure of this scenario, finding a well-defined black hole mass and an analytic criterion for its stability. Focusing on the AdS2<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="10052_2025_14642_Article_IEq2.gif" /> structure near the horizon, we find a novel effective curvature radius with dependency on the NC cutoff. These results motivate us to explore the holographic superconducting system in terms of the nearness from the cutoff. The behavior of the magnetic field in the deep IR geometry is studied and we found semi-analytical novel expressions for the upper critical magnetic fields of a dual type-II superconductor in the canonical and grand canonical ensembles. The condensation in the form of hair is studied in terms of the bound states of the associated Schrödinger potential of the scalar field, interpreted as the dual to the density of Cooper pairs. The NC effects increase the hair formation due to a steeper AdS2<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="10052_2025_14642_Article_IEq3.gif" /> throat comparable to the commutative case. Finally, we obtain the effective IR scalar field equation on the near horizon and near extremal NC Schwarzschild AdS2<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="10052_2025_14642_Article_IEq3.gif" /> geometry and confirm that NC effects promote bound states that the commutative version forbids. |
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| ISSN: | 1434-6044 1434-6052 |
| DOI: | 10.1140/epjc/s10052-025-14642-8 |
| Fuente: | Advanced Technologies & Aerospace Database |