---
title: "Supersymmetry and Integrability in Planar Mechanical Systems. • CBPF Index"
description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community."
canonical_url: "https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adba811"
locale: en
meta:
  "og:description": "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community."
  "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Supersymmetry%2Band%2BIntegrability%2Bin%2BPlanar%2BMechanical%2BSystems.%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~Sm9zw6kgQS4gSGVsYXnDq2wgTmV0bzsgUmljYXJkbyBDLiBQYXNjaG9hbA%2Cdetalhe_~MTkvMTIvMjAwNQ%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmE4MTEi%2Cs_SETy3ydxnhvLodCP.png"
  "og:image:height": "600"
  "og:image:type": image/png
  "og:image:width": "1200"
  "og:title": "Supersymmetry and Integrability in Planar Mechanical Systems. • CBPF Index"
  "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Supersymmetry%2Band%2BIntegrability%2Bin%2BPlanar%2BMechanical%2BSystems.%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~Sm9zw6kgQS4gSGVsYXnDq2wgTmV0bzsgUmljYXJkbyBDLiBQYXNjaG9hbA%2Cdetalhe_~MTkvMTIvMjAwNQ%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmE4MTEi%2Cs_SETy3ydxnhvLodCP.png"
---

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

**Physics Note****Published**

# **Supersymmetry and Integrability in Planar Mechanical Systems.**

**José A. Helayël Neto; Ricardo C. Paschoal**

12/19/2005

[**Download PDF **0.2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adba811/pdf) [**Contact owner**](mailto:lpgassis@cbpf.br?subject=Supersymmetry%20and%20Integrability%20in%20Planar%20Mechanical%20Systems.)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>José A. Helayël Neto; Ricardo C. Paschoal</dd>

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

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

<dt>Publication date</dt>
<dd>19/12/2005</dd>

<dt>Description</dt>
<dd>We present an N = 2-supersymmetric mechanical system whose bosonic sector, with two degrees of freedom, stems from the reduction of an SU(2) Yang-Mills theory with the assumption of spatially homogeneous field configurations and a particular ansatz imposed on the gauge potentials in the dimensional reduction procedure. The Painlev´e test is adopted to discuss integrability and we focus on the rˆole of supersymmetry and parity invariance in two space dimensions for the attainment of integrable or chaotic models. Our conclusion is that the relationships among the parameters imposed by supersymmetry seem to drastically reduce the number of possibilities for integrable interaction potentials of the mechanical system under consideration.</dd>

<dt>Year</dt>
<dd>2005</dd>

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

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

</dl>

```json
{"@context":"https://schema.org","@graph":[{"@id":"https://index.cbpf.br/en#website","@type":"WebSite","description":"O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF.","inLanguage":"en-US","name":"CBPF Index","url":"https://index.cbpf.br/en","publisher":{"@id":"https://index.cbpf.br/#identity"},"translationOfWork":{"@id":"https://index.cbpf.br/#website"}},{"@id":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adba811#webpage","@type":"WebPage","description":"CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community.","name":"Supersymmetry and Integrability in Planar Mechanical Systems.","url":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adba811","isPartOf":{"@id":"https://index.cbpf.br/en#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adba811"]}],"primaryImageOfPage":{"@id":"https://index.cbpf.br/#logo"}},{"@id":"https://index.cbpf.br/#identity","@type":"Organization","alternateName":"CBPF","description":"Unidade de pesquisa do Ministério da Ciência, Tecnologia e Inovação dedicada à pesquisa básica em Física, suas aplicações e à formação científica.","email":"web@cbpf.br","legalName":"Centro Brasileiro de Pesquisas Físicas/CBPF","name":"Centro Brasileiro de Pesquisas Físicas","taxID":"04.044.443/0001-35","telephone":"+55-21-2141-7100","url":"https://cbpf.br","address":{"@type":"PostalAddress","streetAddress":"Rua Dr. Xavier Sigaud, 150","addressLocality":"Rio de Janeiro","addressRegion":"RJ","postalCode":"22290-180","addressCountry":"BR"},"logo":{"@id":"https://index.cbpf.br/#logo"},"sameAs":["https://twitter.com/cbpf_mcti"]},{"@id":"https://index.cbpf.br/#logo","@type":"ImageObject","caption":"Centro Brasileiro de Pesquisas Físicas","contentUrl":"https://index.cbpf.br/icon-512x512-light.png","inLanguage":"en-US","url":"https://index.cbpf.br/icon-512x512-light.png"}]}
```

## Sitemap

See the full [sitemap](https://index.cbpf.br/sitemap.md) for all pages.