Conformally reduced WZNW theory, new extended chiral algebras and their associated toda type integrable systems

Journal Article · Tue Nov 10 04:00:00 EST 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92003227· OSTI ID:6990947

Hou, B Y; Chao, L ^[1]

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1. Inst. of Modern Physics, Northwest Univ., Xian 710069 (China)

In this paper, the authors propose and analyze a large class of conformal reductions Cons[g(H,d)] of WZNW theory based on the integral gradations of the underlying Lie algebra g. The W bases of the associated W algebras W[g(H,d)] are constructed under the generalized Drinfeld-Sokolov gauge which the authors call O'Raifeartaigh gauge of the constrained Kac-Moody currents, and the equations of motion of the extended Toda type integrable systems corresponding to these W algebras are also derived. As an example, the authors construct explicitly the W algebra associated with the (pqp) block diagonal decomposition of sl[sub 2p+q], namely W[(pqp)[sub 2]], and discuss some of the properties thereof.

• OSTI ID: 6990947
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:28; ISSN IMPAEF; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
CHIRAL SYMMETRY
CONFORMAL INVARIANCE
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS