Getting N=1 super Yang-Mills from strings

TL;DR

This paper explores how string theory backgrounds can model N=1 super Yang-Mills theories, focusing on supersymmetry breaking, gauge dynamics, and effective superpotentials using gauge-string duality.

Contribution

It demonstrates the derivation of N=1 super Yang-Mills from string backgrounds, extending the Veneziano-Yankielowicz superpotential with glueball fields.

Findings

Supersymmetry breaking from orbifold to conifold backgrounds.

Calculation of low energy effective superpotential.

Inclusion of glueball fields in the superpotential.

Abstract

In the context of the gauge-string correspondence, we discuss the spontaneous partial breaking of supersymmetry. Starting from the orbifold of S^5, supersymmetry breaking leads us to consider the (resolved) conifold background and some of the gauge dynamics encoded in that geometry. Using this gravity dual, we compute the low energy effective superpotential for such N=1 theories. We are naturally led to extend the Veneziano-Yankielowicz one: glueball fields appear.