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**Physics Note****Published**

# **Self-Duality Condition in Chern-Simons Higgs**

**P. P. Srivastava; K. Tanaka**

1992

[**Download PDF **0.2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb644/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Self-Duality%20Condition%20in%20Chern-Simons%20Higgs)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>P. P. Srivastava; K. Tanaka</dd>

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

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

<dt>Publication date</dt>
<dd>1992</dd>

<dt>Description</dt>
<dd>It is shown that in the Higgs and Chern-Simons-Higgs systems the 'self-duality' constraint on the scalar field (combined with the equations of motion) by itself leads to a general form for the potential. In the limits of the Chern-Simons coefficient &lt;math&gt; k \rightarrow 0 \,\!&lt;/math&gt; and &lt;math&gt; k \rightarrow \infty \,\!&lt;/math&gt; one obtains the previous special forms of the potential. In the latter case, it is shown that the quantity &lt;math&gt;ln \mid a \mid ^{2} \,\!&lt;/math&gt;, where a is the bosonic field, satisfies the Liouville equation. The supersymmetric extensions of the theories written in terms of superfields is considered. A 'supersymmetric self-duality' constraint on the matter superfield is proposed which contains the bosonic one and it leads to the specific forms of superpotentials without invoking arguments based on an explicit &lt;math&gt;N = 2\,\!&lt;/math&gt; supersymmetry.</dd>

<dt>Year</dt>
<dd>1992</dd>

<dt>Number</dt>
<dd>CBPF-NF-005/92</dd>

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

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

</dl>

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