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> Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt)

**Nota de Física****Publicado**

# **Anti-Symmetric Tensor Matter Fields and Non-Linear **<math>σ</math>\<math> \\sigma\</math><math>σ</math>**-Model**

**M. S. G. Negrao; André Penna-Firme; José Abdalla Helayel Neto**

1998

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## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>M. S. G. Negrao; André Penna-Firme; José Abdalla Helayel Neto</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

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

<dt>Fecha de publicación</dt>
<dd>1998</dd>

<dt>Descripción</dt>
<dd>The equivalence between rank-2 anti-symmetric tensor fields, considered as gauge potentials, and torsionless non-linear &lt;math&gt;\sigma\,\!&lt;/math&gt;-models suggests us to study the possibility of coupling tensorial matter with Yang-Mills fields, through the gauging of the isometries of the target space. We show that this coupling is actually possible; however, the matter appears no longer as an elementary field, but rather as a composite one, expressed in terms of the bosonic degrees of freedom of the &lt;math&gt;\sigma\,\!&lt;/math&gt;-model. A possible phenomenological application is presented that describes the interactions among vector mesons in terms of the geometrical properties of the target manifold. Also, spin-2 meson resonances may naturally be accommodated whenever the &lt;math&gt;\sigma\,\!&lt;/math&gt;-model's target manifold is non-symmetric.</dd>

<dt>Año</dt>
<dd>1998</dd>

<dt>Número</dt>
<dd>CBPF-NF-048/98</dd>

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

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

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```

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