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Subject Keyword PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ♦ FIELD THEORIES ♦ ALGEBRA ♦ SYMMETRY ♦ FIELD EQUATIONS ♦ GRAVITATION ♦ PARTIAL DIFFERENTIAL EQUATIONS ♦ THREE-DIMENSIONAL CALCULATIONS ♦ DIFFERENTIAL EQUATIONS ♦ EQUATIONS ♦ MATHEMATICS ♦ General Theory of Particles & Fields- Theory of Fields & Strings- (1992-) ♦ General Theory of Particles & Fields- Symmetry, Conservation Laws, Currents & Their Properties- (1992-)
Abstract After establishing a formal theory for getting solutions of one type of high-dimensional partial differential equation, two sets of generalized symmetries of the 3D Toda theory, which arises from a particular reduction of the 4D self-dual gravity equation, are obtained concretely by a simple formula. Each set of symmetries constitutes a generalized [omega][sub [infinity]] algebra which contains three types of the usual [omega][sub [infinity]] algebras as special cases. Some open questions are discussed.
ISSN 00319007
Educational Use Research
Learning Resource Type Article
Publisher Date 1993-12-20
Publisher Place United States
Journal Physical Review Letters
Volume Number 71
Issue Number 25


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