On the consistency of the N=1 SYM spectra from wrapped five-branes

TL;DR

This paper examines the glueball spectrum in N=1 SYM using the Maldacena-Nunez model, highlighting limitations in the model's spectrum prediction and proposing a cutoff approach to better match low-energy data.

Contribution

It demonstrates that the Maldacena-Nunez model's area law does not guarantee a discrete glueball spectrum and suggests a cutoff to interpret the model in the IR region.

Findings

The model's spectrum does not align with general trends from other backgrounds.

Implementing a cutoff can recover a sensible low-energy spectrum.

Non-commutative effects increase the predicted glueball masses.

Abstract

We discuss the existence of glueball states for N=1 SYM within the Maldacena-Nunez model. We find that for this model the existence of an area law in the Wilson loop operator does not imply the existence of a discrete glueball spectrum. We suggest that implementing the model with an upper hard cut-off can amend the lack of spectrum. As a result the model can be only interpreted in the infra-red region. A direct comparison with the lattice data allows us to fix the scale up to where the model is sensible to describe low-energy observables. Nevertheless, taking for granted the lattice results, the resulting spectrum does not follow the general trends found in other supergravity backgrounds. We further discuss the decoupling of the non-singlet Kaluza-Klein states by analysing the associated supergravity equation of motion. The inclusion of non-commutative effects is also analysed and we find that leads to an enhancement on the value of the masses.