Supersymmetry and Integrability in Planar Mechanical Systems
| Autor: | Ricardo C. Paschoal, Leonardo P. G. De Assis, José A. Helayël-Neto |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: |
Physics
High Energy Physics - Theory Physics and Astronomy (miscellaneous) Integrable system General Mathematics High Energy Physics::Phenomenology Chaotic FOS: Physical sciences Parity (physics) Supersymmetry Mathematical Physics (math-ph) Nonlinear Sciences - Chaotic Dynamics Mechanical system Theoretical physics High Energy Physics::Theory Planar High Energy Physics - Theory (hep-th) Dimensional reduction Chaotic Dynamics (nlin.CD) Mathematical Physics Ansatz |
| Popis: | 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 Painleve test is adopted to discuss integrability and we focus on the role 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. 20 pages, 3 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|