AdS/CFT and large-N volume independence

TL;DR

This paper explores how the AdS/CFT correspondence explains volume independence in large-N gauge theories at strong coupling, using gravity duals to analyze D-brane configurations and their implications.

Contribution

It demonstrates the geometrization of volume independence via D-branes in the gravity dual of N=4 super-Yang-Mills, providing predictions for the validity of reduced models at strong coupling.

Findings

D-branes geometrize volume independence in the center-symmetric vacuum

Supergravity predicts the range of validity for reduced large-N models at strong coupling

Analysis supports the Eguchi-Kawai reduction in a gravity dual context

Abstract

We study the Eguchi-Kawai reduction in the strong-coupling domain of gauge theories via the gravity dual of N=4 super-Yang-Mills on R^3xS^1. We show that D-branes geometrize volume independence in the center-symmetric vacuum and give supergravity predictions for the range of validity of reduced large-N models at strong coupling.