Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-07-25
Europhys.Lett.61:480-484,2003
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, plain Tex
Scientific paper
10.1209/epl/i2003-00154-7
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.
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