A new realization of holography

TL;DR

This paper presents a novel holographic reduction of higher-dimensional gravitational actions on AdS_m x S^n backgrounds to lower-dimensional gauge theories, revealing new insights into holography and field interactions.

Contribution

It introduces a new method to derive lower-dimensional gauge theories from higher-dimensional gravity by tuning geometric parameters and performing harmonic expansions.

Findings

Holographic reduction to Yang-Mills-like gauge theories

Effective actions with infinite-component fields

Feasibility of supersymmetrization

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.