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**Physics Note****Published**

# ZkZ\_{k}Zk​** string fluxes and monopole confinement in non-Abelian theories**

**M. A. C. Kneipp**

2002

[**Download PDF **0.1 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb05a/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Zk%20string%20fluxes%20and%20monopole%20confinement%20in%20non-Abelian%20theories)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>M. A. C. Kneipp</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>2002</dd>

<dt>Description</dt>
<dd>Recently we considered \( N=2 \) Super Yang-Mills with a mass breaking term and showed the existence of BPS \( Z_{k} \)-string solutions for arbitrary simple gauge groups which are spontaneously broken to non-Abelian residual gauge groups. We also calculated their string tensions exactly. In doing so, we have considered in particular the hypermultiplet in the representation of a diquark condensate. In the present work we shall analyze some of the different phases of the theory and find that the magnetic fluxes of the monopoles and \( Z_{k} \)-strings of the theory are proportional to one another, allowing for monopole confinement in one of the phase transitions of the theory. Then we will calculate the threshold length for a string to break in a new pair of monopole-antimonopole. We will further show that some of the resulting confining theories can obtained by adding a deformation term to \( N=2 \) or \( N=4 \) superconformal theories and, as such, may satisfy a gauge/string correspondence.</dd>

<dt>Year</dt>
<dd>2002</dd>

<dt>Number</dt>
<dd>CBPF-NF-038/02</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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