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<p>We construct backreacted geometries dual to the supersymmetric mass deformation of the IKKT matrix model. They are Euclidean type IIB supergravity solutions given in terms of an electrostatic potential, having SO(7) × SO(3) isometry and 16 supersymmetries. Quantizing the fluxes, we find that the supergravity solutions are in one-to-one correspondence with fuzzy sphere vacua of the matrix model.</p>

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Einstein gravity from a matrix integral. Part I

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月3日

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  • Shota Komatsu,
  • Adrien Martina,
  • Joao Penedones,
  • Antoine Vuignier,
  • Xiang Zhao

摘要

We construct backreacted geometries dual to the supersymmetric mass deformation of the IKKT matrix model. They are Euclidean type IIB supergravity solutions given in terms of an electrostatic potential, having SO(7) × SO(3) isometry and 16 supersymmetries. Quantizing the fluxes, we find that the supergravity solutions are in one-to-one correspondence with fuzzy sphere vacua of the matrix model.