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A new realization of holography

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 AdSm × Sn backgrounds admit a holographic reduction to a lower m-dimensional Yang-Mills-like gauge theory of diffeomorphisms of Sn interacting with a charged nonlinear sigma model plus boundary terms by a simple tuning of the AdSm-throat and Sn-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 straightforward fashion.