Deconstruction and Gauge Theories in AdS_5

TL;DR

This paper uses deconstruction to analyze gauge theories in AdS_5, revealing their scale dependence and regularization, with implications for other geometries beyond AdS.

Contribution

It introduces a deconstruction approach to study the scaling behavior of gauge theories in AdS_5, including regularization techniques and applications to various geometries.

Findings

Gauge theories in AdS_5 show logarithmic scale dependence.

Deconstruction effectively analyzes the theory's behavior across different scales.

Position-dependent regularizations are possible in AdS geometries.

Abstract

On a slice of AdS_5, despite having a dimensionful coupling, gauge theories can exhibit logarithmic dependence on scale. In this paper, we utilize deconstruction to analyze the scaling behavior of the theory, both above and below the AdS curvature scale, and shed light on position-dependent regularizations of the theory. We comment on applications to geometries other than AdS.