Generalized symmetries and [ital w][sub [infinity]] algebras in threedimensional Toda field theory
Abstract
After establishing a formal theory for getting solutions of one type of highdimensional partial differential equation, two sets of generalized symmetries of the 3D Toda theory, which arises from a particular reduction of the 4D selfdual 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.
 Authors:

 CCAST (World Laboratory), P.O. Box 8730, Beijing 100 080 (China) Institute of Modern Physics, Ningbo Normal College, Ningbo, 315211 (China) Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100 080 (China)
 Publication Date:
 OSTI Identifier:
 5228233
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review Letters; (United States)
 Additional Journal Information:
 Journal Volume: 71:25; Journal ID: ISSN 00319007
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FIELD THEORIES; ALGEBRA; SYMMETRY; FIELD EQUATIONS; GRAVITATION; PARTIAL DIFFERENTIAL EQUATIONS; THREEDIMENSIONAL CALCULATIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; 662110*  General Theory of Particles & Fields Theory of Fields & Strings (1992); 662120  General Theory of Particles & Fields Symmetry, Conservation Laws, Currents & Their Properties (1992)
Citation Formats
Lou, S. Generalized symmetries and [ital w][sub [infinity]] algebras in threedimensional Toda field theory. United States: N. p., 1993.
Web. doi:10.1103/PhysRevLett.71.4099.
Lou, S. Generalized symmetries and [ital w][sub [infinity]] algebras in threedimensional Toda field theory. United States. doi:10.1103/PhysRevLett.71.4099.
Lou, S. Mon .
"Generalized symmetries and [ital w][sub [infinity]] algebras in threedimensional Toda field theory". United States. doi:10.1103/PhysRevLett.71.4099.
@article{osti_5228233,
title = {Generalized symmetries and [ital w][sub [infinity]] algebras in threedimensional Toda field theory},
author = {Lou, S},
abstractNote = {After establishing a formal theory for getting solutions of one type of highdimensional partial differential equation, two sets of generalized symmetries of the 3D Toda theory, which arises from a particular reduction of the 4D selfdual 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.},
doi = {10.1103/PhysRevLett.71.4099},
journal = {Physical Review Letters; (United States)},
issn = {00319007},
number = ,
volume = 71:25,
place = {United States},
year = {1993},
month = {12}
}
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