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Emergent bubbling geometries in the plane wave matrix model

  • Yuhma AsanoEmail author
  • Goro Ishiki
  • Takashi Okada
  • Shinji Shimasaki
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Abstract

The gravity dual geometry of the plane wave matrix model is given by the bubbling geometry in the type IIA supergravity, which is described by an axially symmetric electrostatic system. We study a quarter BPS sector of the plane wave matrix model in terms of the localization method and show that this sector can be mapped to a onedimensional interacting Fermi gas system. We find that the mean-field density of the Fermi gas can be identified with the charge density in the electrostatic system in the gravity side. We also find that the scaling limits in which the dual geometry reduces to the D2-brane or NS5-brane geometry are given as the free limit or the strongly coupled limit of the Fermi gas system, respectively. We reproduce the radii of S 5’s in these geometries by solving the Fermi gas model in the corresponding limits.

Keywords

Gauge-gravity correspondence Supersymmetric gauge theory Field Theories in Lower Dimensions M(atrix) Theories 
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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2014

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  • Yuhma Asano
    • 1
    Email author
  • Goro Ishiki
    • 1
    • 2
  • Takashi Okada
    • 1
    • 2
    • 3
  • Shinji Shimasaki
    • 1
  1. 1.Department of PhysicsKyoto UniversityKyotoJapan
  2. 2.Yukawa Institute for Theoretical PhysicsKyoto UniversityKyotoJapan
  3. 3.Kavli Institute for Theoretical Physics, UCSBSanta BarbaraUnited States

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