Mother Moose: Generating Extra Dimensions from Simple Groups at Large N

TL;DR

This paper establishes a correspondence between four-dimensional gauge theories with simple groups and higher-dimensional gauge theories at large N, enabling the derivation of higher-dimensional correlators from lower-dimensional theories and supergravity solutions.

Contribution

It demonstrates a novel connection between 4D and higher-dimensional gauge theories at large N, with applications to AdS/CFT and supergravity.

Findings

4D N=2 SU(N) gauge theory correlators match 5D SU(N) gauge theory at large N.

The results facilitate deriving higher-dimensional correlators from 5D supergravity solutions.

Applicable to the AdS/CFT correspondence for theories with extra dimensions.

Abstract

We show that there exists a correspondence between four dimensional gauge theories with simple groups and higher dimensional gauge theories at large N. As an example, we show that a four dimensional {N}=2 supersymmetric SU(N) gauge theory, on the Higgs branch, has the same correlators as a five dimensional SU(N) gauge theory in the limit of large N provided the couplings are appropriately rescaled. We show that our results can be applied to the AdS/CFT correspondence to derive correlators of five or more dimensional gauge theories from solutions of five dimensional supergravity in the large t'Hooft coupling limit.