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Background independent holographic description: from matrix field theory to quantum gravity

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Abstract

We propose a local renormalization group procedure where length scale is changed in spacetime dependent way. Combining this scheme with an earlier observation that high energy modes in renormalization group play the role of dynamical sources for low energy modes at each scale, we provide a prescription to derive background independent holographic duals for field theories. From a first principle construction, it is shown that the holographic theory dual to a D-dimensional matrix field theory is a (D + 1)-dimensional quantum theory of gravity coupled with matter fields of various spins. The gravitational theory has (D + 1) first-class constraints which generate local spacetime transformations in the bulk. The (D + 1)-dimensional diffeomorphism invariance is a consequence of the freedom to choose different local RG schemes.

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Authors and Affiliations

  1. Department of Physics & Astronomy, McMaster University, 1280 Main St. W, Hamilton, ON, L8S 4M1, Canada

    Sung-Sik Lee

  2. Perimeter Institute for Theoretical Physics, 31 Caroline St. N, Waterloo, ON, N2L 2Y5, Canada

    Sung-Sik Lee

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  1. Sung-Sik Lee
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Correspondence to Sung-Sik Lee.

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ArXiv ePrint: 1204.1780

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Lee, SS. Background independent holographic description: from matrix field theory to quantum gravity. J. High Energ. Phys. 2012, 160 (2012). https://doi.org/10.1007/JHEP10(2012)160

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  • DOI: https://doi.org/10.1007/JHEP10(2012)160

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