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Title: Generalized symmetries and [ital w][sub [infinity]] algebras in three-dimensional Toda field theory

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.

Authors:
 [1]
  1. 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 0031-9007
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; THREE-DIMENSIONAL 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 three-dimensional 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 three-dimensional Toda field theory. United States. doi:10.1103/PhysRevLett.71.4099.
Lou, S. Mon . "Generalized symmetries and [ital w][sub [infinity]] algebras in three-dimensional Toda field theory". United States. doi:10.1103/PhysRevLett.71.4099.
@article{osti_5228233,
title = {Generalized symmetries and [ital w][sub [infinity]] algebras in three-dimensional Toda field theory},
author = {Lou, S},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.71.4099},
journal = {Physical Review Letters; (United States)},
issn = {0031-9007},
number = ,
volume = 71:25,
place = {United States},
year = {1993},
month = {12}
}