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**Nota de Física****Publicado**

# **Pure and entangled N = 4 linear supermultiplets and their one-dimensional sigma-models**

**Marcelo Gonzales; kevin Iga; Sadi Khodaee; F. Toppan**

11/05/2012

[**Descargar PDF **0,5 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbbb0e/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=Pure%20and%20entangled%20N%20%3D%204%20linear%20supermultiplets%20and%20their%20one-dimensional%20sigma-models)

## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>Marcelo Gonzales; kevin Iga; Sadi Khodaee; F. Toppan</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

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

<dt>Fecha de publicación</dt>
<dd>11/05/2012</dd>

<dt>Descripción</dt>
<dd>“Pure” homogeneous linear supermultiplets (minimal and non-minimal) of the N = 4- Extended one-dimensional Supersymmetry Algebra are classified. “Pure” means that they admit at least one graphical presentation (the corresponding graph/graphs are known as “Adinkras”). We further prove the existence of “entangled” linear supermultiplets which do not admit a graphical presentation, by constructing an explicit example of an entangled N = 4 supermultiplet with field content (3, 8, 5). It interpolates between two inequivalent pure N = 4 supermultiplets with the same field content. The one-dimensional N = 4 sigma-model with a three-dimensional target based on the entangled supermultiplet is presented. The distinction between the notion of equivalence for pure supermultiplets and the notion of equivalence for their associated graphs (Adinkras) is discussed. Discrete properties such as “chirality” and “coloring” can discriminate different supermultiplets. The tools used in our classification include, among others, the notion of field content, connectivity symbol, commuting group, node choice group and so on.</dd>

<dt>Año</dt>
<dd>2012</dd>

<dt>Número</dt>
<dd>CBPF-NF-008/12</dd>

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

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

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