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Finite Euler Hierarchies And Integrable Universal Equations | | Jan Govaerts
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13 Jul 1992 | | Journal: | Czech. J. Phys. 42 (1992) 1313-1324 | | Subject: | hep-th | | Abstract: | Recent work on Euler hierarchies of field theory Lagrangians iteratively constructed {}from their successive equations of motion is briefly reviewed. On the one hand, a certain triality structure is described, relating arbitrary field theories, {it classical s} topological field theories -- whose classical solutions span topological classes of manifolds -- and reparametrisation invariant theories -- generalising ordinary string and membrane theories. On the other hand, {it finite} Euler hierarchies are constructed for all three classes of theories. These hierarchies terminate with {it universal s} equations of motion, probably defining new integrable systems as they admit an infinity of Lagrangians. Speculations as to the possible relevance of these theories to quantum gravity are also suggested. | | Source: | arXiv, hep-th/9207036 | | Services: | Forum | Review | PDF | Favorites | |
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