Kac--Moody algebra from infinitesimal Riemann--Hilbert transform

Journal Article · Sun Jan 01 00:00:00 EST 1989 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.528581· OSTI ID:6550410

Chau, L; Ge, M

A general formulation is given for deriving a Kac--Moody algebra in the spectrum space from the infinitesimal regular Riemann--Hilbert transform. Such a Kac--Moody algebra can be obtained for many nonlinear systems, e.g., the (super) principal chiral model with or without a Wess--Zumino--Witten term, the sine-Gordon, Liouville, and KdV equations; reduced two-dimensional gravity (Belinski--Zakharov gravity), and self-dual supersymmetric Yang--Mills theories.

• Research Organization: Department of Physics, University of California, Davis, California 95616
• OSTI ID: 6550410
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 30:1
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GRAVITATION
GROUP THEORY
NONLINEAR PROBLEMS
HILBERT TRANSFORMATION
ALGEBRA
SPINORS
SUPERGRAVITY
SUPERSYMMETRY
YANG-MILLS THEORY
FIELD THEORIES
INTEGRAL TRANSFORMATIONS
MATHEMATICS
SYMMETRY
TRANSFORMATIONS
UNIFIED-FIELD THEORIES
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation