Spherical Deconstruction

TL;DR

This paper demonstrates that N=1* SUSY Yang-Mills theory can be viewed as a deconstruction of a six-dimensional gauge theory on a two-sphere, with exact spectral agreement in the large N limit.

Contribution

It provides a detailed classical spectrum calculation of N=1* theory and shows its equivalence to a six-dimensional compactified gauge theory spectrum at large N.

Findings

Classical spectrum matches Kaluza-Klein spectrum of MN compactification at large N.

N=1* SUSY Yang-Mills deconstructs a six-dimensional gauge theory on a two-sphere.

Exact spectral agreement in the large N limit.

Abstract

We present evidence that N=1* SUSY Yang-Mills provides a deconstruction of a six-dimensional gauge theory compactified on a two-sphere. The six-dimensional theory is a twisted compactification of N=(1,1) SUSY Yang-Mills theory of the type considered by Maldacena and Nunez (MN). In particular, we calculate the full classical spectrum of the N=1* theory with gauge group U(N) in its Higgs vacuum. In the limit N goes to infinity, we find an exact agreement with the Kaluza-Klein spectrum of the MN compactification.