caa a22 4500 463197798 CHVBK 20180406164927.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10773-007-9413-3 doi (NATIONALLICENCE)springer-10.1007/s10773-007-9413-3 Supersymmetry and Integrability in Planar Mechanical Systems [Elektronische Daten] [Leonardo deAssis, José Helayël-Neto, Ricardo Paschoal] We present an N=2-supersymmetric mechanical system whose bosonic sector, with two degrees of freedom, exhibits the most general possible supersymmetric fourth order potential, including the interesting case of SU(2) Yang-Mills theory. The Painlevé test is adopted to discuss integrability and we focus on the rôle of supersymmetry and parity invariance in two space dimensions for the attainment of integrable or non-integrable models, with some remarks on the chaotic behavior. Our result shows that, for the model studied here, the relationships among the parameters, as imposed by supersymmetry, restrict the parameter space in such a way that the reduction on its non-integrable sector is much more severe than on its integrable sector (especially on the non-separable subset of the latter), thus suggesting that supersymmetry may favor (mainly non-separable) integrability. Springer Science+Business Media, LLC, 2007 Supersymmetric mechanics nationallicence Supersymmetry nationallicence Integrability nationallicence Chaos nationallicence deAssis Leonardo Centro Brasileiro de Pesquisas Físicas—CBPF, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil aut Helayël-Neto José Centro Brasileiro de Pesquisas Físicas—CBPF, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil aut Paschoal Ricardo Centro Federal de Educação Tecnológica Celso Suckow da Fonseca-CEFET/RJ, Av. Maracanã 229, 20271-110, Rio de Janeiro, RJ, Brazil aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/11(2007-11-01), 2983-3004 0020-7748 46:11<2983 2007 46 10773 https://doi.org/10.1007/s10773-007-9413-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9413-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- deAssis Leonardo Centro Brasileiro de Pesquisas Físicas—CBPF, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil aut NATIONALLICENCE 700 1- Helayël-Neto José Centro Brasileiro de Pesquisas Físicas—CBPF, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil aut NATIONALLICENCE 700 1- Paschoal Ricardo Centro Federal de Educação Tecnológica Celso Suckow da Fonseca-CEFET/RJ, Av. Maracanã 229, 20271-110, Rio de Janeiro, RJ, Brazil aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/11(2007-11-01), 2983-3004 0020-7748 46:11<2983 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer