GENERALIZED TODA AND VOLTERRA MODELS

The mean procedure of Faddeev-Reshetikhin with non-Abelian automorphism groups is applied to construct generalizations of the open Toda sl(n, C) chain. These models admit a consistent reduction to integrable generalized Volterra models. An example of such models is analyzed: it leads in the continuu...

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Bibliographic Details
Published inInternational journal of modern physics. A, Particles and fields, gravitation, cosmology Vol. 7; no. 20; pp. 4855 - 4869
Main Author AVAN, J.
Format Journal Article
LanguageEnglish
Published United States World Scientific Publishing Company 10.08.1992
Subjects
661100 > Classical & Quantum Mechanics > (1992-)
662210 > Specific Theories & Interaction Models
ALGEBRA
CHAINS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
EQUATIONS
FADDEEV EQUATIONS
FIELD THEORIES
GRAVITATION
INTEGRAL EQUATIONS
MATHEMATICS 662110 > General Theory of Particles & Fields > Theory of Fields & Strings > (1992-)
MATRICES
Pa
Particle Systematics > Unified Theories & Models > (1992-)
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
VOLTERRA INTEGRAL EQUATIONS
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ISSN0217-751X
1793-656X
DOI10.1142/S0217751X92002192

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Summary:The mean procedure of Faddeev-Reshetikhin with non-Abelian automorphism groups is applied to construct generalizations of the open Toda sl(n, C) chain. These models admit a consistent reduction to integrable generalized Volterra models. An example of such models is analyzed: it leads in the continuum limit to the $C_2^{\left( 1 \right)} $ Hirota differential system, associated with two-matrix models of discrete gravity. The continuum limit of the general Volterra models and their relation with discretized versions of Wn-algebra are analyzed.
Bibliography:None
ISSN:0217-751X
1793-656X
DOI:10.1142/S0217751X92002192