On the N=1 beta-function from the conifold

TL;DR

This paper derives the exact all-loop beta-function for pure N=1 super Yang-Mills theory using supergravity solutions related to the warped deformed conifold, incorporating nonperturbative effects via gauge-gravity duality.

Contribution

It provides the first derivation of the complete all-loop beta-function for N=1 super Yang-Mills from supergravity, including nonperturbative corrections.

Findings

Correct all-loop beta-function obtained from supergravity

Inclusion of nonperturbative corrections via gaugino condensation

Establishment of gauge-gravity relation for beta-function derivation

Abstract

We obtain the correct all-loop beta-function of pure N=1 super Yang-Mills theory from the supergravity solution of the warped deformed conifold, including also some nonperturbative corrections. The crucial ingredient is the gauge-gravity relation that can be inferred by taking into account the phenomenon of gaugino condensation.