From integrability to conformal symmetry: Bosonic superconformal Toda theories

Journal Article · Wed Mar 10 04:00:00 EST 1993 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X93000448· OSTI ID:5834828

Hou, Bo-Yu; Chao, Liu ^[1]

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1. Northwest Univ., Xian (China)

In this paper the authors study the conformal integrable models obtained from conformal reductions of WZNW theory associated with second order constraints. These models are called bosonic superconformal Toda models due to their conformal spectra and their resemblance to the usual Toda theories. From the reduction procedure they get the equations of motion and the linearized Lax equations in a generic Z gradation of the underlying Lie algebra. Then, in the special case of principal gradation, they derive the classical r matrix, fundamental Poisson relation, exchange algebra of chiral operators and find out the classical vertex operators. The result shows that their model is very similar to the ordinary Toda theories in that one can obtain various conformal properties of the model from its integrability.

• OSTI ID: 5834828
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 8:6; ISSN IMPAEF; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

662100* -- General Theory of Particles & Fields-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD ALGEBRA
FIELD THEORIES
GAUGE INVARIANCE
INTEGRAL CALCULUS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MATHEMATICS
MATRICES
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
R MATRIX
SYMMETRY GROUPS