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title: "Refining the classification of the irreps of the 1D N-Extended Supersymmetry • CBPF Index"
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**Nota de Física****Publicado**

# **Refining the classification of the irreps of the 1D N-Extended Supersymmetry**

**Zhanna Kuznetsova; F. Toppan**

29/07/2010

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## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>Zhanna Kuznetsova; F. Toppan</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

<dt>Estado</dt>
<dd>Publicado</dd>

<dt>Fecha de publicación</dt>
<dd>29/07/2010</dd>

<dt>Descripción</dt>
<dd>In hep-th/0511274 the classification of the fields content of the linear finite irreducible representations of the algebra of the $1D$ $N$-Extended Supersymmetric Quantum Mechanics was given. In hep-th/0611060 it was pointed out that certain irreps with the same fields content can be regarded as inequivalent. This result can be understood in terms of the ``connectivity" properties of the graphs associated to the irreps. We present here a classification of the connectivity of the irreps, refining the hep-th/0511274 classification based on fields content. As a byproduct, we find a counterexample to the hep-th/0611060 claim that the connectivity is uniquely specified by the {\em sources} and {\em targets} of an irrep graph. We produce one pair of $N=5$ irreps and three pairs of $N=6$ irreps with the same number of sources and targets which, nevertheless, differ in connectivity.</dd>

<dt>Año</dt>
<dd>2006</dd>

<dt>Número</dt>
<dd>CBPF-NF-020/06</dd>

<dt>Vínculo con tesis</dt>
<dd>No</dd>

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

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