Point Symmetries of Generalized Toda Field Theories

Abstract

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.

arXiv comment25 pages, no figures, Latex file

References in corpus (1)

• Symmetries of Discrete Dynamical Systems Involving Two Species

Cited by in corpus (5)

• Continuous Symmetries of Difference Equations
• Lie point symmetries of difference equations and lattices
• Lie symmetries of multidimensional difference equations
• Lie Point Symmetries and Commuting Flows for Equations on Lattices
• Point Symmetries of Generalized Toda Field Theories II Applications of the Symmetries