---
title: "BRST Quantization of the Twisted N=2 Super-Yang-Mills Theory in 4D • CBPF Index"
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**Physics Note****Published**

# **BRST Quantization of the Twisted N=2 Super-Yang-Mills Theory in 4D**

**A. Tanzini; O. S. Ventura; L. C. Q. Vilar; S. P. Sorella**

1998

[**Download PDF **0.2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb4ec/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=BRST%20Quantization%20of%20the%20Twisted%20N%3D2%20Super-Yang-Mills%20Theory%20in%204D)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>A. Tanzini; O. S. Ventura; L. C. Q. Vilar; S. P. Sorella</dd>

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

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

<dt>Publication date</dt>
<dd>1998</dd>

<dt>Description</dt>
<dd>We perform the full quantization of the twisted N=2 supersymmetric Yang-Mills theory in four dimensions, whose classical action is that of the topological Yang-Mills (TYM) theory. By means of the introduction of appropriate constant ghosts associated to the twisted generators of N=2, we are able to quantize the model by taking into account both the gauge invariance and the topological symmetries of the TYM action. Concerning the usual BRST cohomology, we show that the twisted algebra can be useful in order to obtain the relevant cohomology classes. In particular, the requirement of analyticity in the constant ghosts will identify the topological sector of the twisted theory and the BRST nontrivial twisted action. This will lead us to suggest a possible approach in order to give an algebraic proof of the one-loop exactness of the N=2 &lt;math&gt; \beta\,\!&lt;/math&gt;–function.</dd>

<dt>Year</dt>
<dd>1998</dd>

<dt>Number</dt>
<dd>CBPF-NF-075/98</dd>

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

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

</dl>

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