@MISC{Paniak99largen, author = {L. D. Paniak}, title = {Large N Dual Gauge Theories}, year = {1999} }

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Abstract

A five-dimensional Chern-Simons gravity theory based on the anti-de Sitter group SO(4,2) is argued to be a useful model in which to understand the details of holography and the relationship between generally covariant and dual local quantum field theories. Defined on a manifold with boundary, conformal geometry arises naturally as a gauge invariance preserving boundary condition. By matching thermodynamic quantities for a particular background geometry, the dimensionless coupling constant of the Chern-Simons theory is directly related to the number of fields in a putative dual theory at high temperature. As a consistency check, the semiclassical factorization of Wilson line observables in the gravity theory is shown to induce a factorization in dual theory observables as expected by general arguments of large N gauge theory. Holography in D-dimensional generally covariant system is the general proposition which states that the number of degrees of freedom in the system is bounded from above by the area (in Planck units) of a D −2-dimensional spatial surface surrounding the system [1, 2, 3]. An ambitious extension of this concept is the organization of the so-called boundary degrees of freedom into a local quantum field theory which effectively describes the physics of the