Perturbative and non-perturbative aspects of pure N=1 super Yang-Mills theory from wrapped branes

TL;DR

This paper explores the duality between a generalized supergravity background with adjustable parameters and pure N=1 super Yang-Mills theory, analyzing non-perturbative phenomena like the gluino condensate and beta function.

Contribution

It extends the Maldacena-Nunez solution by introducing integration constants that control singularity resolution, linking gravity features to non-perturbative SYM physics.

Findings

Calculation of the gluino condensate

Derivation of the gauge coupling beta function

Relation of the brane probe potential to the Veneziano-Yankielowicz potential

Abstract

The Maldacena-Nunez solution is generalized to include a number of integration constants, one of which controls the resolution of the singularity of the wrapped D5-brane background. Some features of the dual pure N=1 super Yang-Mills (SYM) theory are calculated, amongst which the gluino condensate, the beta function of the gauge coupling and a brane probe potential, which is related to the Veneziano-Yankielowicz effective potential. Each integration constant has a precise meaning in the dual SYM theory, e.g., the amount of non-perturbative SYM physics captured by the gravity configuration is described by the singularity resolution parameter.