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http://acervodigital.unesp.br/handle/11449/23791
- Title:
- A new approach to integrable theories in any dimension
- Univ Miami
- Universidade Estadual Paulista (UNESP)
- Univ Santiago
- 0550-3213
- The zero curvature representation for two-dimensional integrable models is generalized to spacetimes of dimension d + 1 by the introduction of a d-form connection. The new generalized zero curvature conditions can be used to represent the equations of motion of some relativistic invariant field theories of physical interest in 2 + 1 dimensions (BF theories, Chern-Simons, 2 + 1 gravity and the CP1 model) and 3 + 1 dimensions (self-dual Yang-Mills theory and the Bogomolny equations). Our approach leads to new methods of constructing conserved currents and solutions. In a submodel of the 2 + 1-dimensional CP1 model, we explicitly construct an infinite number of previously unknown non-trivial conserved currents. For each positive integer spin representation of sl(2) we construct 2j + 1 conserved currents leading to 2j + 1 Lorentz scalar charges. (C) 1998 Elsevier B.V. B.V.
- 5-Oct-1998
- Nuclear Physics B. Amsterdam: Elsevier B.V., v. 529, n. 3, p. 689-736, 1998.
- 689-736
- Elsevier B.V.
- zero curvature
- general dimensions
- integrability
- new solutions
- http://dx.doi.org/10.1016/S0550-3213(98)00400-3
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/23791 Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp
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