Point Symmetries of Generalized Toda Field Theories

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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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.

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