Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2000-04-12
J.Phys.A33:2419-2435,2000
Nonlinear Sciences
Exactly Solvable and Integrable Systems
25 pages, no figures, Latex file
Scientific paper
10.1088/0305-4470/33/12/309
A class of two-dimensional field theories with exponential interactions is introduced. The interaction depends on two ``coupling'' matrices and is sufficiently general to include all Toda field theories existing in the literature. Lie point symmetries of these theories are found for an infinite, semi-infinite and finite number of fields. Special attention is accorded to conformal invariance and its breaking.
Lafortune Stephane
Martina Luigi
Winternitz Pavel
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