The Space of Solutions of Toda Field Theory

Details The Space of Solutions of Toda Field Theory The Space of Solutions of Toda Field Theory

1993-06-18

arxiv.org/abs/hep-th/9306088v1

Class.Quant.Grav.11:533-542,1994

Physics

High Energy Physics

High Energy Physics - Theory

14pp

Scientific paper

10.1088/0264-9381/11/3/008

A new parameterisation of the solutions of Toda field theory is introduced. In this parameterisation, the solutions of the field equations are real, well-defined functions on space-time, which is taken to be two-dimensional Minkowski space or a cylinder. The global structure of the covariant phase space of Toda theory is examined and it is shown that it is isomorphic to the Hamiltonian phase space. The Poisson brackets of Toda theory are then calculated. Finally, using the methods developed to study the Toda theory, we extend these results to the non-Abelian Toda field theories.

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