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

**Nota de Física****Publicado**

# **Parafermionic Reductions of WZW Model**

**J.F. Gomes; G.M. Sotkov; A.H. Zimerman**

1998

[**Descargar PDF **0,5 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb489/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=Parafermionic%20Reductions%20of%20WZW%20Model)

## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>J.F. Gomes; G.M. Sotkov; A.H. Zimerman</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>We investigate a class of conformal Non-Abelian-Toda models representing a noncompact &lt;math&gt;SL(2,R)/U(1)\,\!&lt;/math&gt; parafermionions (PF) interacting with a specific abelian Toda theories and having a global U(1) symmetry. A systematic derivation of the conserved currents, their algebras and the exact solution of these models is presented. An important property of this class of models is the affine &lt;math&gt;SL(2,R)_q\,\!&lt;/math&gt; algebra spanned by charges of the chiral and antichiral nonlocal currents and the U(1) charge. The classical (Poisson Brackets) algebras of symmetries &lt;math&gt;V{G_n}\,\!&lt;/math&gt; of these models appears to be of mixed &lt;math&gt;PF- W{G_n}\,\!&lt;/math&gt; type. They contain together with the local quadratic terms specific for the &lt;math&gt;W_n\,\!&lt;/math&gt; -algebras the nonlocal terms similar to the ones of the classical PF-algebra. The renormalization of the spins of the nonlocal currents is the main new feature of the quantum &lt;math&gt;V{A_n}\,\!&lt;/math&gt; -algebras. The quantum &lt;math&gt; V{A_2}\,\!&lt;/math&gt; -algebra and its degenerate representations are studied in detail.</dd>

<dt>Año</dt>
<dd>1998</dd>

<dt>Número</dt>
<dd>CBPF-NF-019/98</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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