Test of gauged N=8 SUGRA / N=1 SYM duality at sub-leading order

TL;DR

This paper tests the duality between N=8 gauged supergravity and N=1 super-Yang-Mills theory at sub-leading order by calculating one-loop corrections, revealing non-zero effects across all parameters.

Contribution

It provides the first detailed computation of one-loop bulk corrections to the anomaly coefficient in this duality, challenging previous assumptions.

Findings

One-loop corrections to the anomaly coefficient are non-zero for all bulk masses.

Previous claims of zero corrections at specific points are contradicted.

Results support the robustness of the duality beyond leading order.

Abstract

An infra-red fixed point of ${\mathcal N}=1$ super-Yang-Mills theory is believed to be dual to a solution of five-dimensional gauged ${\mathcal N}=8$ supergravity. We test this conjecture at next to leading order in the large $N$ expansion by computing bulk one-loop corrections to the anomaly coefficient $a-c$. The one-loop corrections are non-zero for all values of the bulk mass, and not just special ones as claimed in previous work.