Kac--Moody and new infinite-dimensional Lie algebras
Journal Article
·
· Journal of Mathematical Physics (New York); (United States)
- Department of Physics and Astronomy, University of Rochester, Rochester, New York (USA)
It will be shown that general polynomials of the Kac--Moody field can generate either a new infinite-dimensional Lie algebra or {ital W}{sub 3} -type algebra, at least for the classical field case. For the case of the infinite dimensional Lie algebra, it leads to an infinite number of conserved classical quantities which generate hierarchy equations analogous to that of the KdV system. The chiral boson equation emerges as the lowest-order equation of the hierarchy.
- DOE Contract Number:
- AC02-76ER13065
- OSTI ID:
- 5003956
- Journal Information:
- Journal of Mathematical Physics (New York); (United States), Journal Name: Journal of Mathematical Physics (New York); (United States) Vol. 32:12; ISSN JMAPA; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
CHIRALITY
COMMUTATION RELATIONS
COMPOSITE MODELS
CONSERVATION LAWS
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONALS
FUNCTIONS
GROUP CONSTANTS
KORTEWEG-DE VRIES EQUATION
LIE GROUPS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PARTICLE PROPERTIES
QUARK MODEL
STRING MODELS
SYMMETRY GROUPS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
CHIRALITY
COMMUTATION RELATIONS
COMPOSITE MODELS
CONSERVATION LAWS
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONALS
FUNCTIONS
GROUP CONSTANTS
KORTEWEG-DE VRIES EQUATION
LIE GROUPS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PARTICLE PROPERTIES
QUARK MODEL
STRING MODELS
SYMMETRY GROUPS