A New realization of holography

Jul, 2002
4 pages
Published in:
  • EPL 61 (2003) 480-484
e-Print:

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Abstract:
Based on the old results of Cho, Soh, Park and Yoon, it is shown how higher m + n dimensional pure gravitational actions restricted to AdS_m times S^n backgrounds admit a holographic reduction to a lower m-dimensional Yang-Mills-like gauge theory of diffeomorphisms of S^n interacting with a charged non-linear sigma model plus boundary terms by a simple tuning of the AdS_m-throat and S^n-radius sizes. After performing a harmonic expansion of the fields with respect to the internal coordinates and a subsequent integration one obtains an m-dimensional effective action involving an infinite-component field theory. The supersymmetrization program can be carried out in a straighforward fashion.
Note:
  • 4 pages, plain Tex
  • holography
  • space-time: higher-dimensional
  • gauge field theory: Yang-Mills
  • diffeomorphism
  • sigma model: nonlinear
  • expansion: harmonic
  • effective action