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arXiv · hep-th/9909112

Chern-Simons Gravity, Wilson Lines and Large N Dual Gauge Theories

L. D. Paniak
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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.

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L. D. Paniak. 2000-06-30. Chern-Simons Gravity, Wilson Lines and Large N Dual Gauge Theories. https://doi.org/10.1142/s0217732300001407

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