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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/23791
Title: 
A new approach to integrable theories in any dimension
Author(s): 
Institution: 
  • Univ Miami
  • Universidade Estadual Paulista (UNESP)
  • Univ Santiago
ISSN: 
0550-3213
Abstract: 
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.
Issue Date: 
5-Oct-1998
Citation: 
Nuclear Physics B. Amsterdam: Elsevier B.V., v. 529, n. 3, p. 689-736, 1998.
Time Duration: 
689-736
Publisher: 
Elsevier B.V.
Keywords: 
  • zero curvature
  • general dimensions
  • integrability
  • new solutions
Source: 
http://dx.doi.org/10.1016/S0550-3213(98)00400-3
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/23791
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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