N=1 super Yang-Mills theories and wrapped branes

TL;DR

This paper explores supergravity solutions involving wrapped D5 branes to model four-dimensional N=1 super Yang-Mills theories, successfully deriving the NSVZ beta function and illustrating how gauge theory features are encoded in gravity duals.

Contribution

It provides a supergravity framework that captures key features of N=1 super Yang-Mills theories, including the derivation of the NSVZ beta function from gravitational duals.

Findings

Derived the NSVZ beta function from supergravity solutions.

Showed how gauge theory features are encoded in supergravity.

Connected wrapped brane solutions to gauge theory dynamics.

Abstract

I consider supergravity solutions of D5 branes wrapped on supersymmetric 2-cycles and use them to discuss relevant features of four-dimensional N=1 super Yang-Mills theories with gauge group SU(N). In particular, using a gravitational dual of the gaugino condensate, it is shown that is possible to obtain the complete NSVZ $\beta$-function. It is also described how different aspects of the gauge theory are nicely encoded in this supergravity solution.